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Journal articles on the topic 'Weyle invariance'

Author: Grafiati

Published: 14 March 2023

Last updated: 31 July 2025

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1

NIETO, J. A. "REMARKS ON WEYL INVARIANT p-BRANES AND Dp-BRANES." Modern Physics Letters A 16, no. 40 (2001): 2567–78. http://dx.doi.org/10.1142/s0217732301005497.

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A mechanism to find different Weyl invariant p-branes and Dp-branes actions is explained. Our procedure clarifies the Weyl invariance for such systems. Besides, by considering gravity–dilaton effective action in higher dimensions, we also derive a Weyl invariant action for p-branes. We argue that this derivation provides a geometrical scenario for the Weyl invariance of p-branes. Our considerations can be extended to the case of super-p-branes.

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2

Edery, Ariel, and Yu Nakayama. "Generating Einstein gravity, cosmological constant and Higgs mass from restricted Weyl invariance." Modern Physics Letters A 30, no. 30 (2015): 1550152. http://dx.doi.org/10.1142/s0217732315501527.

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Recently, it has been pointed out that dimensionless actions in four-dimensional curved spacetime possess a symmetry which goes beyond scale invariance but is smaller than full Weyl invariance. This symmetry was dubbed restricted Weyl invariance. We show that starting with a restricted Weyl invariant action that includes a Higgs sector with no explicit mass, one can generate the Einstein–Hilbert action with cosmological constant and a Higgs mass. The model also contains an extra massless scalar field which couples to the Higgs field (and gravity). If the coupling of this extra scalar field to

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3

Futorny, Vyacheslav, and João Schwarz. "Holonomic modules for rings of invariant differential operators." International Journal of Algebra and Computation 31, no. 04 (2021): 605–22. http://dx.doi.org/10.1142/s0218196721500296.

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We study holonomic modules for the rings of invariant differential operators on affine commutative domains with finite Krull dimension with respect to arbitrary actions of finite groups. We prove the Bernstein inequality for these rings. Our main tool is the filter dimension introduced by Bavula. We extend the results for the invariants of the Weyl algebra with respect to the symplectic action of a finite group, for the rings of invariant differential operators on quotient varieties, and invariants of certain generalized Weyl algebras under the linear actions. We show that the filter dimension

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4

SUZUKI, HIROSHI. "THERMAL PARTITION FUNCTION OF NON-CRITICAL BOSONIC STRINGS." Modern Physics Letters A 04, no. 21 (1989): 2085–92. http://dx.doi.org/10.1142/s0217732389002343.

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The thermal free energy of free non-critical bosonic strings in a D-dimensional spacetime is examined. By integrating (or summing) over the Weyl freedom, the free energy and the one-loop vacuum amplitude are modular invariant for any D<26. Thus the (background) Weyl invariance is realized. In the case of L→∞, where L is the compactification radius of the Weyl mode, the physical spectrum circulating in the loop becomes continuous. A connection between this continuous spectrum and the unitarity of string perturbation theory is briefly mentioned.

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5

Vesić, Nenad O., Dušan J. Simjanović, and Branislav M. Randjelović. "Invariants for Second Type Almost Geodesic Mappings of Symmetric Affine Connection Space." Mathematics 12, no. 15 (2024): 2329. http://dx.doi.org/10.3390/math12152329.

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This paper presents the results concerning a space of invariants for second type almost geodesic mappings. After discussing the general formulas of invariants for mappings of symmetric affine connection spaces, based on these formulas, invariants for second type almost geodesic mappings of symmetric affine connection spaces and Riemannian spaces are obtained, as well as their mutual connection. Also, one invariant of Thomas type and two invariants of Weyl type for almost geodesic mappings of the second type were attained.

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6

JAIN, SANJAY. "CONFORMALLY INVARIANT FIELD THEORY IN TWO DIMENSIONS AND STRINGS IN CURVED SPACETIME." International Journal of Modern Physics A 03, no. 08 (1988): 1759–846. http://dx.doi.org/10.1142/s0217751x8800076x.

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The formalism of conformally invariant field theory on a 2-dimensional real manifold with an intrinsic metric is developed in the functional integral framework. This formalism is used to study the relationships between reparametrization, Weyl, conformal and BRST invariances for strings in generic backgrounds. Conformal invariance of string amplitudes in the presence of backgrounds is formulated in terms of the Virasoro conditions, i.e., that physical vertex operators generate (1,1) representations of the Virasoro algebra, or, equivalently, the condition Q|Ψ〉=0 on physical states |Ψ〉, where Q i

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7

Metzlaff, Tobias. "Symmetry Adapted Bases for Trigonometric Optimization." ACM Communications in Computer Algebra 57, no. 3 (2023): 137–40. http://dx.doi.org/10.1145/3637529.3637535.

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We present an algorithm to compute the global minimum of a trigonometric polynomial, when it is invariant under the exponential action of a Weyl group. This is based on a common relaxation technique that leads to a semi-definite program (SDP). It is then shown how to exploit the invariance in order to reduce the number of variables of the SDP and to simplify its structure significantly. This approach complements the one that was proposed as a poster at the recent ISSAC 2022 conference [HMMR22] and later extended to [HMMR23]. In the previous work, we first used the invariance of the objective f

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8

CHO, Y. M. "MONOPOLE CONDENSATION AND MASS GAP IN SU(3) QCD." International Journal of Modern Physics A 29, no. 03n04 (2014): 1450013. http://dx.doi.org/10.1142/s0217751x14500134.

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We demonstrate the monopole condensation in SU(3) QCD. We first discuss the gauge independent and Weyl symmetric Abelian (Cho-Duan-Ge) decomposition of the SU(3) QCD, and present a new gauge invariant integral expression of the one-loop effective action which has no infrared divergence. Integrating it gauge invariantly imposing the color reflection invariance ("the C-projection") we show that the effective potential generates the stable monopole condensation which generates the mass gap.

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9

ZENKIN, S. V. "GENERAL FORM OF THE LATTICE FERMION ACTION." Modern Physics Letters A 06, no. 02 (1991): 151–55. http://dx.doi.org/10.1142/s0217732391000105.

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A set of lattice fermion actions is found which are consistent with canonical quantization of fermion systems. A new type of non-local chirally invariant action determined by the Weyl quantization is found to be inconsistent with gauge invariance. This completes the demonstration of the inconsistency of the non-local actions. The other actions are of the generalized Wilson form and may have the Kogut-Susskind-like symmetry which forbids mass terms.

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10

IRAC-ASTAUD, MICHÈLE. "DIFFERENTIAL CALCULUS ON A THREE-PARAMETER OSCILLATOR ALGEBRA." Reviews in Mathematical Physics 08, no. 08 (1996): 1083–90. http://dx.doi.org/10.1142/s0129055x96000408.

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Two differential calculi are developed on an algebra generalizing the usual q-oscillator algebra and involving three generators and three parameters. They are shown to be invariant under the same quantum group that is extended to a ten-generator Hopf algebra. We discuss the special case where it reduces to a deformation of the invariance group of the Weyl-Heisenberg algebra for which we prove the existence of a constraint between the values of the parameters.

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11

HARADA, KOJI. "EQUIVALENCE BETWEEN THE WESS-ZUMINO-WITTEN MODEL AND TWO CHIRAL BOSONS." International Journal of Modern Physics A 06, no. 19 (1991): 3399–418. http://dx.doi.org/10.1142/s0217751x91001659.

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We establish the formal equivalence of a bosonized Dirac fermion (the Wess-Zumino-Witten model) to two bosonized Weyl fermions (Sonnenschein’s chiral bosons) in the path integral framework. These two systems can be regarded as gauge-fixed systems of the same gauge-invariant theory. Factorization of the fermion determinant of QCD2 is naturally realized in terms of chiral bosonization, up to a contact term which is necessary for maintaining gauge invariance. Canonical quantization of the gauge-invariantly extended system is performed.

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12

Temme, Francis P. "Commutator-Based (A)[X]n(SU(2)×Sn) NMR Cluster Systems: Establishment of the Universality of [n](Sn) Salients and Constraints on ϕ±11(1.1) Polarisations to the [1n] Salient: Permutational Spin Symmetry (PSS) Within NMR Spin Dynamics - an Analytic View". Collection of Czechoslovak Chemical Communications 70, № 8 (2005): 1177–95. http://dx.doi.org/10.1135/cccc20051177.

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Analytic SU(2) × Sn dual tensorial (DT) spin dynamics over uniform NMR spins is invoked in examining the modern quantum basis for the universal non-observability rule which governs dominant intracluster JXX' couplings of (A)[X]n NMR systems as a specific form of (abstract) permutational spin symmetry (PSS) with well defined properties on spin-alone space. This is shown to be linked to DT constraints that apply to the cross-product ϕ1±1(1.1) polarisation development i.e., as being confined to [1n](Sn) (Liouvillian) salient, with the existence of [n] (rotating frame) null subspaces. Both these a

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13

Fernández Cristóbal, José Ma. "Weyl invariance in metric f(R) gravity." Revista Mexicana de Física 64, no. 2 (2018): 181. http://dx.doi.org/10.31349/revmexfis.64.181.

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We aim to derive the most general f(R) gravity theory, including thematter, so that it be Weyl invariant. Making use of the mathematicalequivalence of these theories with an type of scalar-tensor theory, and byimposing the Weyl invariance for the pure gravity as well as for the mattersector, we obtain the fundamental equation that restricts the form of V (phi) (and, accordingly, of f(R)) so that the resulting action to be Weylinvariant in the Jordan frame. We show that this action is not otherthan the so-called dilaton gravity action with one scalar eld,, whicheective mass is R and Phi depende

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14

DAPPIAGGI, CLAUDIO, VALTER MORETTI, and NICOLA PINAMONTI. "RIGOROUS STEPS TOWARDS HOLOGRAPHY IN ASYMPTOTICALLY FLAT SPACETIMES." Reviews in Mathematical Physics 18, no. 04 (2006): 349–415. http://dx.doi.org/10.1142/s0129055x0600270x.

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Scalar QFT on the boundary ℑ+at future null infinity of a general asymptotically flat 4D spacetime is constructed using the algebraic approach based on Weyl algebra associated to a BMS-invariant symplectic form. The constructed theory turns out to be invariant under a suitable strongly-continuous unitary representation of the BMS group with manifest meaning when the fields are interpreted as suitable extensions to ℑ+of massless minimally coupled fields propagating in the bulk. The group theoretical analysis of the found unitary BMS representation proves that such a field on ℑ+coincides with th

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15

CLARK, T. E., and S. T. LOVE. "ON LOCAL DILATATION INVARIANCE." Modern Physics Letters A 27, no. 30 (2012): 1250174. http://dx.doi.org/10.1142/s021773231250174x.

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The relationship between local Weyl scaling invariant models and local dilatation invariant actions is critically scrutinized. While actions invariant under local Weyl scalings can be constructed in a straightforward manner, actions invariant under local dilatation transformations can only be achieved in a very restrictive case. The invariant couplings of matter fields to an Abelian vector field carrying a nontrivial scaling weight can be easily built, but an invariant Abelian vector kinetic term can only be realized when the local scale symmetry is spontaneously broken.

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16

Arvanitakis, Alex S. "Chiral strings, topological branes, and a generalised Weyl-invariance." International Journal of Modern Physics A 34, no. 06n07 (2019): 1950031. http://dx.doi.org/10.1142/s0217751x19500313.

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We introduce a sigma model Lagrangian generalising a number of new and old models which can be thought of as chiral, including the Schild string, ambitwistor strings, and the recently introduced tensionless AdS twistor strings. This “chiral sigma model” describes maps from a [Formula: see text]-brane worldvolume into a symplectic space and is manifestly invariant under diffeomorphisms as well as under a “generalised Weyl invariance” acting on space–time coordinates and worldvolume fields simultaneously. Construction of the Batalin–Vilkovisky master action leads to a BRST operator under which t

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17

AGOSTINI, ALESSANDRA, GIOVANNI AMELINO-CAMELIA, MICHELE ARZANO та FRANCESCO D'ANDREA. "A CYCLIC INTEGRAL ON κ-MINKOWSKI NONCOMMUTATIVE SPACE–TIME". International Journal of Modern Physics A 21, № 15 (2006): 3133–50. http://dx.doi.org/10.1142/s0217751x06031077.

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We examine some alternative possibilities for an action functional for κ-Minkowski noncommutative space–time. Early works on κ-Minkowski focused on κ-Poincaré covariance and the dependence of the action functional on the choice of Weyl map, renouncing to invariance under cyclic permutations of the factors composing the argument of the action functional. It has been recently suggested, focusing on a specific choice of Weyl map and setting aside the issue of κ-Poincaré covariance of the action functional, that a cyclicity-inducing measure could be introduced in implicit form. We provide an expli

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18

FUJIWARA, TAKANORI, YUJI IGARASHI, and JISUKE KUBO. "WEYL INVARIANCE AND SPURIOUS BLACK HOLES IN TWO-DIMENSIONAL DILATON GRAVITY." International Journal of Modern Physics A 09, no. 27 (1994): 4811–35. http://dx.doi.org/10.1142/s0217751x94001953.

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In two-dimensional dilaton gravity theories, there may exist a global Weyl invariance which makes the black hole spurious. If the global invariance and the local Weyl invariance of the matter coupling are intact at the quantum level, there is no Hawking radiation. We explicitly verify the absence of anomalies in these symmetries for the model proposed by Callan, Giddings, Harvey and Strominger. The crucial observation is that the conformal anomaly can be cohomologically trivial and so not truly anomalous in such dilaton gravity models.

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19

BIZDADEA, C., E. M. CIOROIANU, and A. C. LUNGU. "NO INTERACTIONS FOR A COLLECTION OF WEYL GRAVITONS INTERMEDIATED BY A SCALAR FIELD." International Journal of Modern Physics A 21, no. 19n20 (2006): 4083–126. http://dx.doi.org/10.1142/s0217751x06031284.

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The cross-couplings among several Weyl gravitons (described in the free limit by a sum of linearized Weyl actions) in the presence of a scalar field are studied with the help of the deformation theory based on local BRST cohomology. Under the hypotheses of locality, smoothness of the interactions in the coupling constant, Poincaré invariance, (background) Lorentz invariance, and the preservation of the number of derivatives on each field, together with the supplementary assumption that the internal metric defined by the sum of Weyl Lagrangians is positively defined, we prove that there are no

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20

Iorio, A., L. O'Raifeartaigh, I. Sachs, and C. Wiesendanger. "Weyl gauging and conformal invariance." Nuclear Physics B 495, no. 1-2 (1997): 433–50. http://dx.doi.org/10.1016/s0550-3213(97)00190-9.

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21

Gover, A. R., A. Shaukat, and A. Waldron. "Tractors, mass, and Weyl invariance." Nuclear Physics B 812, no. 3 (2009): 424–55. http://dx.doi.org/10.1016/j.nuclphysb.2008.11.026.

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22

Zaikov, R. P. "Conformal invariance in Weyl gravity." International Journal of Theoretical Physics 26, no. 6 (1987): 537–48. http://dx.doi.org/10.1007/bf00670092.

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23

Dabholkar, Atish. "Quantum Weyl invariance and cosmology." Physics Letters B 760 (September 2016): 31–35. http://dx.doi.org/10.1016/j.physletb.2016.06.034.

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24

Temme, F. P. "On spin irreps of (1 Ii 3) 12-fold uniform NMR spin systems as invariant-based dual tensorial sets: Roles in spin physics for weight sets and their -partitional frequency catalogues." Canadian Journal of Physics 80, no. 9 (2002): 1069–83. http://dx.doi.org/10.1139/p02-005.

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A direct systematic approach is given to the derivation of outer M-labelled {|IM(.)>} dual (spin) irrep sets for identical n [Formula: see text] 12-fold higher Ii nuclear spin ensembles, stressing (i) the essential role of multipartite partitions in spin physics, (ii) the value of algorithmic tableaux-based decompositions in the subsequent [Formula: see text]n combinatorical modelling, and (iii) how the dual group invariants (based on time-reversal invariance) govern the auxiliary labels of specialized dual tensors. Such (uniform inner rank) dual group basis sets (spin representations) unde

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25

Poulis, F. P., and J. M. Salim. "Weyl geometry and gauge-invariant gravitation." International Journal of Modern Physics D 23, no. 11 (2014): 1450091. http://dx.doi.org/10.1142/s0218271814500916.

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In this paper, we provide a gauge-invariant theory of gravitation in the context of Weyl Integrable Spacetimes. After making a brief review of the theory's postulates, we carefully define the observers' proper-time and point out its relation with spacetime description. As a consequence of this relation and the theory's gauge symmetry we recover all predictions of general relativity. This feature is made even clearer by a new exact solution we provide which reveals the importance of a well defined proper-time. The thermodynamical description of the source fields is given and we observe that eac

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26

Fring, Andreas. "Toda field theories and Calogero models associated to infinite Weyl groups." Journal of Physics: Conference Series 2912, no. 1 (2024): 012021. https://doi.org/10.1088/1742-6596/2912/1/012021.

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Abstract Many integrable theories can be formulated universally in terms of Lie algebraic root systems. Well-studied are conformally invariant scalar field theories of Toda type and their massive versions, which can be expressed in terms of simple roots of finite Lie and affine Kac-Moody algebras, respectively. Also, multi-particle systems of Calogero-Moser-Sutherland type, which require the entire root system in their formulation, are extensively studied. Here, we discuss recently proposed extensions of these models to similar systems based on hyperbolic and Lorentzian Kac-Moody algebras. We

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27

DE ANDRADE, M. A., та O. M. DEL CIMA. "SUPER-τ3QED AND THE DIMENSIONAL REDUCTION OF N=1SUPER-QED2+2". International Journal of Modern Physics A 11, № 08 (1996): 1367–89. http://dx.doi.org/10.1142/s0217751x96000638.

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In this work the supersymmetric gauge-invariant action for the massive Abelian N=1 super-QED 2+2 in the Atiyah-Ward space-time (D=2+2) is formulated. The questions concerning the scheme of the gauge invariance in D=2+2 by means of gauging the massive N=1 super-QED 2+2 are investigated. We study how to ensure the gauge invariance at the expense of the introduction of a complex vector superfield. We discuss the Wess-Zumino gauge and thereupon we conclude that, in this gauge, only the imaginary part of the complex vector field, Bμ, gauges a U(1) symmetry. whereas its real part gauges a Weyl symme

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28

MOON, TAEYOON, JOOHAN LEE, and PHILLIAL OH. "CONFORMAL INVARIANCE IN EINSTEIN–CARTAN–WEYL SPACE." Modern Physics Letters A 25, no. 37 (2010): 3129–43. http://dx.doi.org/10.1142/s0217732310034201.

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We consider conformally invariant form of the actions in Einstein, Weyl, Einstein–Cartan and Einstein–Cartan–Weyl space in general dimensions (> 2) and investigate the relations among them. In Weyl space, the observational consistency condition for the vector field determining non-metricity of the connection can be obtained from the equation of motion. In Einstein–Cartan space a similar role is played by the vector part of the torsion tensor. We consider the case where the trace part of the torsion is the Kalb–Ramond type of field. In this case, we express conformally invariant action in te

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29

Hosotani, Y. "Weyl Invariant Spacetime." Progress of Theoretical Physics 109, no. 2 (2003): 295–303. http://dx.doi.org/10.1143/ptp.109.295.

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30

MELJANAC, S., та A. SAMSAROV. "SCALAR FIELD THEORY ON κ-MINKOWSKI SPACE–TIME AND TRANSLATION AND LORENTZ INVARIANCE". International Journal of Modern Physics A 26, № 07n08 (2011): 1439–68. http://dx.doi.org/10.1142/s0217751x11051536.

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We investigate the properties of κ-Minkowski space–time by using representations of the corresponding deformed algebra in terms of undeformed Heisenberg–Weyl algebra. The deformed algebra consists of κ-Poincaré algebra extended with the generators of the deformed Weyl algebra. The part of deformed algebra, generated by rotation, boost and momentum generators, is described by the Hopf algebra structure. The approach used in our considerations is completely Lorentz covariant. We further use an advantage of this approach to consistently construct a star product, which has a property that under in

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31

HAMADA, KEN-JI. "CONFORMAL FIELD THEORY ON R × S3 FROM QUANTIZED GRAVITY." International Journal of Modern Physics A 24, no. 16n17 (2009): 3073–110. http://dx.doi.org/10.1142/s0217751x0904422x.

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Conformal algebra on R × S3 derived from quantized gravitational fields is examined. The model we study is a renormalizable quantum theory of gravity in four dimensions described by a combined system of the Weyl action for the traceless tensor mode and the induced Wess–Zumino action managing nonperturbative dynamics of the conformal factor in the metric field. It is shown that the residual diffeomorphism invariance in the radiation+ gauge is equal to the conformal symmetry, and the conformal transformation preserving the gauge-fixing condition that forms a closed algebra quantum mechanically i

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32

Maeder, André, and Frédéric Courbin. "A Survey of Dynamical and Gravitational Lensing Tests in Scale Invariance: The Fall of Dark Matter?" Symmetry 16, no. 11 (2024): 1420. http://dx.doi.org/10.3390/sym16111420.

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We first briefly review the adventure of scale invariance in physics, from Galileo Galilei, Weyl, Einstein, and Feynman to the revival by Dirac (1973) and Canuto et al. (1977). In the way that the geometry of space–time can be described by the coefficients gμν, a gauging condition given by a scale factor λ(xμ) is needed to express the scaling. In general relativity (GR), λ=1. The “Large Number Hypothesis” was taken by Dirac and by Canuto et al. to fix λ. The condition that the macroscopic empty space is scale-invariant was further preferred (Maeder 2017a), the resulting gauge is also supported

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33

Alvarez, Enrique, Sergio González-Martín, and Mario Herrero-Valea. "Some cosmological consequences of Weyl invariance." Journal of Cosmology and Astroparticle Physics 2015, no. 03 (2015): 035. http://dx.doi.org/10.1088/1475-7516/2015/03/035.

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34

Kuzenko, Sergei M., and Gabriele Tartaglino-Mazzucchelli. "Super-Weyl invariance in 5D supergravity." Journal of High Energy Physics 2008, no. 04 (2008): 032. http://dx.doi.org/10.1088/1126-6708/2008/04/032.

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35

Zhao, Shu-Cheng, and Duan Yishi. "Conformal (Weyl) invariance and Higgs mechanism." Il Nuovo Cimento A 105, no. 12 (1992): 1739–43. http://dx.doi.org/10.1007/bf02740923.

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36

Jain, Sanjay, and A. Jevicki. "String field theory from Weyl invariance." Physics Letters B 220, no. 3 (1989): 379–86. http://dx.doi.org/10.1016/0370-2693(89)90891-5.

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37

Navarro-Salas, J., M. Navarro, and C. F. Talavera. "Weyl invariance and black hole evaporation." Physics Letters B 356, no. 2-3 (1995): 217–22. http://dx.doi.org/10.1016/0370-2693(95)00848-f.

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38

Codello, A., G. D’Odorico, C. Pagani, and R. Percacci. "The renormalization group and Weyl invariance." Classical and Quantum Gravity 30, no. 11 (2013): 115015. http://dx.doi.org/10.1088/0264-9381/30/11/115015.

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39

GRUMILLER, D., D. HOFMANN, and W. KUMMER. "2D GRAVITY WITHOUT TEST PARTICLES IS POINTLESS." Modern Physics Letters A 16, no. 24 (2001): 1597–600. http://dx.doi.org/10.1142/s0217732301004935.

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40

KATOK, A., and R. J. SPATZIER. "Corrections to ‘Invariant measures for higher-rank hyperbolic abelian actions’." Ergodic Theory and Dynamical Systems 18, no. 2 (1998): 503–7. http://dx.doi.org/10.1017/s0143385798110969.

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The proofs of Theorems 5.1 and 7.1 of [2] contain a gap. We will show below how to close it under some suitable additional assumptions in these theorems and their corollaries. We will assume the notation of [2] throughout. In particular, $\mu$ is a measure invariant and ergodic under an $R^k$-action $\alpha$. Let us first explain the gap. Both theorems are proved by establishing a dichotomy for the conditional measures of $\mu$ along the intersection of suitable stable manifolds. They were either atomic or invariant under suitable translation or unipotent subgroups $U$. Atomicity eventually le

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41

Temme, F. P. "Geodesic and re–coupling–induced limits to S 2 n group invariants of uniform ( k 1 ⋯ k 2 n ) dual tensorial sets in spin physics, or NMR: SR dynamical structure on {ℍ v } via polyhedral re–coupling and time–reversal invariance". Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461, № 2054 (2005): 321–46. http://dx.doi.org/10.1098/rspa.2004.1323.

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For S n –based, uniform auxiliary dual tensorial (UDT) sets, explicitly with even maximal all–alike j i ( k i ) over v ≡ ( j 1 ⋯ j 2 n ), or ( k 1 ⋯ k 2 n ), sub–rank auxiliary labelling, the specific time–reversal invariance–dependent dual group invariants and their independent cardinalities (| SI | (2 n ) ) are fundamental to understanding simply reducible (SR) dynamical spin system structure over (Liouvillian) carrier space, a quantum physics property implicit in dual quasi–particle (QP) formalisms associated with, for example, uniform identical multiple spin NMR systems . Such UDT sets sta

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42

MIYATA, HIDEO, and NORIYASU OHTSUBO. "WEYL ORBIFOLD MODELS." Modern Physics Letters A 11, no. 28 (1996): 2285–96. http://dx.doi.org/10.1142/s0217732396002277.

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Superstring models on Weyl orbifolds are investigated in [Formula: see text] heterotic string theories. Some of the Weyl orbifold models are shown to be consistent with worldsheet supersymmetry, N=1 spacetime supersymmetry and modular invariance. Two ways of embedding in [Formula: see text] are studied and residual gauge groups are classified.

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43

FAN, HONG-YI. "INVARIANCE OF WEYL ORDERING OF FERMI OPERATORS UNDER SIMILAR TRANSFORMATIONS." Modern Physics Letters A 21, no. 10 (2006): 809–20. http://dx.doi.org/10.1142/s0217732306019025.

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A Weyl–Wigner quantization scheme for Fermi system which is parallel to the bosonic case is established. We prove a new theorem: Weyl ordering of Fermi operators is invariant under fermionic similar transformations. Comparing with the preceding paper,1 we see the Bose–Fermi supersymmetry in this aspect. As an application of the theorem, we construct a generalized fermionic squeezed state.

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44

FAN, HONG-YI, and JI-SUO WANG. "ON THE WEYL ORDERING INVARIANCE UNDER GENERAL n-MODE SIMILAR TRANSFORMATIONS." Modern Physics Letters A 20, no. 20 (2005): 1525–32. http://dx.doi.org/10.1142/s0217732305017512.

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We reveal that Weyl ordering of operators is invariant under general n-mode similar transformations. The technique of integration within a Weyl ordered product of operators is employed to prove our statement. Application of this property in obtaining generalized squeezed state via similar transformation is discussed.

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De Martini, Francesco, and Enrico Santamato. "Proof of the spin-statistics theorem in the relativistic regimen by Weyl’s conformal quantum mechanics." International Journal of Quantum Information 14, no. 04 (2016): 1640011. http://dx.doi.org/10.1142/s0219749916400116.

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The traditional standard theory of quantum mechanics is unable to solve the spin-statistics problem, i.e. to justify the utterly important “Pauli Exclusion Principle” but by the adoption of the complex standard relativistic quantum field theory. In a recent paper [E. Santamato and F. D. De Martini, Found. Phys. 45 (2015) 858] we presented a complete proof of the spin-statistics problem in the nonrelativistic approximation on the basis of the “Conformal Quantum Geometrodynamics” (CQG). In this paper, by the same theory, the proof of the spin-statistics theorem (SST) is extended to the relativis

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46

GANNON, TERRY, and Q. HO-KIM. "THE LOW LEVEL MODULAR-INVARIANT PARTITION FUNCTIONS OF RANK-TWO ALGEBRAS." International Journal of Modern Physics A 09, no. 15 (1994): 2667–86. http://dx.doi.org/10.1142/s0217751x94001072.

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Using the self-dual lattice method, we make a systematic search for modular-invariant partition functions of the affine algebras g(1) of g=A2, A1+A1, G2, and C2. Unlike previous computer searches, this method is necessarily complete. We succeed in finding all physical invariants for A2 at levels ≤32, for G2 at levels ≤31, for C2 at levels ≤26, and for A1+A1 at levels k1=k2≤21. This work thus completes a recent A2 classification proof, where the levels k=3, 5, 6, 9, 12, 15, 21 had been left out. We also compute the dimension of the (Weyl-folded) commutant for these algebras and levels.

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Háková, Lenka, and Agnieszka Tereszkiewicz. "ON GENERALIZATION OF SPECIAL FUNCTIONS RELATED TO WEYL GROUPS." Acta Polytechnica 56, no. 6 (2016): 440–47. http://dx.doi.org/10.14311/ap.2016.56.0440.

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Weyl group orbit functions are defined in the context of Weyl groups of simple Lie algebras. They are multivariable complex functions possessing remarkable properties such as (anti)invariance with respect to the corresponding Weyl group, continuous and discrete orthogonality. A crucial tool in their definition are so-called sign homomorphisms, which coincide with one-dimensional irreducible representations. In this work we generalize the definition of orbit functions using characters of irreducible representations of higher dimensions. We describe their properties and give examples for Weyl gr

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Zhang, Nan, Gan Zhao, Lin Li, et al. "Magnetotransport signatures of Weyl physics and discrete scale invariance in the elemental semiconductor tellurium." Proceedings of the National Academy of Sciences 117, no. 21 (2020): 11337–43. http://dx.doi.org/10.1073/pnas.2002913117.

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The study of topological materials possessing nontrivial band structures enables exploitation of relativistic physics and development of a spectrum of intriguing physical phenomena. However, previous studies of Weyl physics have been limited exclusively to semimetals. Here, via systematic magnetotransport measurements, two representative topological transport signatures of Weyl physics, the negative longitudinal magnetoresistance and the planar Hall effect, are observed in the elemental semiconductor tellurium. More strikingly, logarithmically periodic oscillations in both the magnetoresistanc

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Coumbe, Daniel. "Asymptotically Weyl-invariant gravity." International Journal of Modern Physics A 34, no. 31 (2019): 1950205. http://dx.doi.org/10.1142/s0217751x19502051.

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We propose a novel theory of gravity that by construction is renormalizable, evades Ostrogradsky’s no-go theorem, is locally scale-invariant in the high-energy limit, and equivalent to general relativity in the low-energy limit. The theory is defined by a pure [Formula: see text] action in the Palatini formalism, where the dimensionless exponent [Formula: see text] runs from a value of two in the high-energy limit to one in the low-energy limit. We show that the proposed model contains no obvious cosmological curvature singularities. The viability of the proposed model is qualitatively assesse

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Kao, W. F., Shi-Yuun Lin, and Tzuu-Kang Chyi. "Weyl invariant black hole." Physical Review D 53, no. 4 (1996): 1955–62. http://dx.doi.org/10.1103/physrevd.53.1955.

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