Log in

Relevant bibliographies by topics / Non-commutative symmetry / Journal articles

To see the other types of publications on this topic, follow the link: Non-commutative symmetry.

Journal articles on the topic 'Non-commutative symmetry'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Non-commutative symmetry.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Scholtz, F. G., P. H. Williams, and J. N. Kriel. "Commutative–non-commutative dualities." Canadian Journal of Physics 98, no. 2 (2020): 158–66. http://dx.doi.org/10.1139/cjp-2018-0887.

Full text

Abstract:

We show that it is in principle possible to construct dualities between commutative and non-commutative theories in a systematic way. This construction exploits a generalization of the exact renormalization group equation (ERG). We apply this to the simple case of the Landau problem and then generalize it to the free and interacting non-canonical scalar field theory. This constructive approach offers the advantage of tracking the implementation of the Lorentz symmetry in the non-commutative dual theory. In principle, it allows for the construction of completely consistent non-commutative and n

APA, Harvard, Vancouver, ISO, and other styles

2

Hanlon, B. E., and G. C. Joshi. "BRS symmetry in Connes' non-commutative geometry." Journal of Physics A: Mathematical and General 28, no. 10 (1995): 2889–904. http://dx.doi.org/10.1088/0305-4470/28/10/018.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Zhang, P. M., P. A. Horváthy, and J. P. Ngome. "Non-commutative oscillator with Kepler-type dynamical symmetry." Physics Letters A 374, no. 42 (2010): 4275–78. http://dx.doi.org/10.1016/j.physleta.2010.08.054.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Chen, Heng, Guanyu Li, Yunhao Sun, and Wei Jiang. "A quaternion-group knowledge graph embedding model." Journal of Intelligent & Fuzzy Systems 41, no. 1 (2021): 2459–68. http://dx.doi.org/10.3233/jifs-202546.

Full text

Abstract:

Capturing the composite embedding representation of a multi-hop relation path is an extremely vital task in knowledge graph completion. Recently, rotation-based relation embedding models have been widely studied to embed composite relations into complex vector space. However, these models make some over-simplified assumptions on the composite relations, resulting the relations to be commutative. To tackle this problem, this paper proposes a novel knowledge graph embedding model, named QuatGE, which can provide sufficient modeling capabilities for complex composite relations. In particular, our

APA, Harvard, Vancouver, ISO, and other styles

5

KOBAYASHI, YOSHISHIGE, and SHIN SASAKI. "LORENTZ INVARIANT AND SUPERSYMMETRIC INTERPRETATION OF NONCOMMUTATIVE QUANTUM FIELD THEORY." International Journal of Modern Physics A 20, no. 30 (2005): 7175–88. http://dx.doi.org/10.1142/s0217751x05022421.

Full text

Abstract:

In this paper, using a Hopf-algebraic method, we construct deformed Poincaré SUSY algebra in terms of twisted (Hopf) algebra. By adapting this twist deformed super-Poincaré algebra as our fundamental symmetry, we can see the consistency between the algebra and non(anti)commutative relation among (super)coordinates and interpret that symmetry of non(anti)commutative QFT is in fact twisted one. The key point is validity of our new twist element that guarantees non(anti)commutativity of space. It is checked in this paper for [Formula: see text] case. We also comment on the possibility of noncommu

APA, Harvard, Vancouver, ISO, and other styles

6

Bishop, Michael, Daniel Hooker, Peter Martin, and Douglas Singleton. "GUP, Lorentz Invariance (Non)-Violation, and Non-Commutative Geometry." Symmetry 17, no. 6 (2025): 923. https://doi.org/10.3390/sym17060923.

Full text

Abstract:

In this work, we formulate a generalized uncertainty principle with both position and momentum operators modified from their canonical forms. We study whether Lorentz symmetry is violated and whether it can be saved with these modifications. The requirement that Lorentz invariance is not violated places restrictions on the way the position and momentum operators can be modified. We also investigate the connection between general uncertainty principle and non-commutative geometry models, e.g., laying out the connection between area/area operators and angular momentum in both models.

APA, Harvard, Vancouver, ISO, and other styles

7

Sevenheck, Christian. "Mirror Symmetry, Singularity Theory and Non-commutative Hodge Structures." Jahresbericht der Deutschen Mathematiker-Vereinigung 114, no. 3 (2012): 131–62. http://dx.doi.org/10.1365/s13291-012-0049-8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Giri, Pulak Ranjan, and P. Roy. "The non-commutative oscillator, symmetry and the Landau problem." European Physical Journal C 57, no. 4 (2008): 835–39. http://dx.doi.org/10.1140/epjc/s10052-008-0705-4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Kang, Li, and Dulat Sayipjamal. "Non-commutative phase space and its space-time symmetry." Chinese Physics C 34, no. 7 (2010): 944–48. http://dx.doi.org/10.1088/1674-1137/34/7/003.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Abe, Yasumi, Rabin Banerjee, and Izumi Tsutsui. "Duality symmetry and plane waves in non-commutative electrodynamics." Physics Letters B 573 (October 2003): 248–54. http://dx.doi.org/10.1016/j.physletb.2003.08.057.

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

Barannikov, Serguei. "Non-Commutative Periods and Mirror Symmetry¶in Higher Dimensions." Communications in Mathematical Physics 228, no. 2 (2002): 281–325. http://dx.doi.org/10.1007/s002200200656.

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

Alshehry, Azzh Saad, Jebrel M. Habeb, Rashid Abu-Dawwas, and Ahmad Alrawabdeh. "Graded Weakly 2-Absorbing Ideals over Non-Commutative Graded Rings." Symmetry 14, no. 7 (2022): 1472. http://dx.doi.org/10.3390/sym14071472.

Full text

Abstract:

Let G be a group and R be a G-graded ring. In this paper, we present and examine the concept of graded weakly 2-absorbing ideals as in generality of graded weakly prime ideals in a graded ring which is not commutative, and demonstrates that the symmetry is obtained as a lot of the outcomes in commutative graded rings remain in graded rings that are not commutative.

APA, Harvard, Vancouver, ISO, and other styles

13

Sinha, Debabrata, Biswajit Chakraborty, and Frederik G. Scholtz. "Non-commutative quantum mechanics in three dimensions and rotational symmetry." Journal of Physics A: Mathematical and Theoretical 45, no. 10 (2012): 105308. http://dx.doi.org/10.1088/1751-8113/45/10/105308.

Full text

APA, Harvard, Vancouver, ISO, and other styles

14

Hashimoto, Koji. "Gauge Symmetry Breaking in Models Inspired by Non-Commutative Geometry." Progress of Theoretical Physics 102, no. 2 (1999): 419–25. http://dx.doi.org/10.1143/ptp.102.419.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Buchstaber, Victor M., and Michael I. Monastyrsky. "Generalized Kramers–Wannier duality for spin systems with non-commutative symmetry." Journal of Physics A: Mathematical and General 36, no. 28 (2003): 7679–92. http://dx.doi.org/10.1088/0305-4470/36/28/301.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

ASCHIERI, PAOLO. "DUALITY ROTATIONS FOR ABELIAN BORN-INFELD LAGRANGIANS." International Journal of Modern Physics B 14, no. 22n23 (2000): 2287–91. http://dx.doi.org/10.1142/s0217979200001801.

Full text

Abstract:

We present the Born–Infeld Lagrangian with n Abelian gauge fields and show that it has an Sp(2n, ℝ) duality symmetry. This involves solving a unilateral matrix equation and more generally an algebraic equation over a non-commutative ring.

APA, Harvard, Vancouver, ISO, and other styles

17

Georgescu, George, and Andrei Popescu. "Concept lattices and similarity in non-commutative fuzzy logic." Fundamenta Informaticae 53, no. 1 (2002): 23–54. https://doi.org/10.3233/fun-2002-53102.

Full text

Abstract:

A classical (crisp) concept is given by its extent (a set of objects) and its intent (a set of properties). In commutative fuzzy logic, the generalization comes naturally, considering fuzzy sets of objects and properties. In both cases (the first being actually a particular case of the second), the situation is perfectly symmetrical: a concept is given by a pair (A,B), where A is the largest set of objects sharing the attributes from B and B is the largest set of attributes shared by the objects from A (with the necessary nuance when fuzziness is concerned). Because of this symmetry, working w

APA, Harvard, Vancouver, ISO, and other styles

18

KOWALSKI-GLIKMAN, J., and S. NOWAK. "NON-COMMUTATIVE SPACE–TIME OF DOUBLY SPECIAL RELATIVITY THEORIES." International Journal of Modern Physics D 12, no. 02 (2003): 299–315. http://dx.doi.org/10.1142/s0218271803003050.

Full text

Abstract:

Doubly Special Relativity (DSR) theory is a recently proposed theory with two observer-independent scales (of velocity and mass), which is to describe a kinematic structure underlining the theory of Quantum Gravity. We observe that there are infinitely many DSR constructions of the energy–momentum sector, each of whose can be promoted to the κ-Poincaré quantum (Hopf) algebra. Then we use the co-product of this algebra and the Heisenberg double construction of κ-deformed phase space in order to derive the non-commutative space–time structure and the description of the whole of DSR phase space.

APA, Harvard, Vancouver, ISO, and other styles

19

Duval, C., and P. A. Horváthy. "Exotic Galilean symmetry in the non-commutative plane and the Hall effect." Journal of Physics A: Mathematical and General 34, no. 47 (2001): 10097–107. http://dx.doi.org/10.1088/0305-4470/34/47/314.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

Alvarez, Pedro D., Joaquim Gomis, Kiyoshi Kamimura, and Mikhail S. Plyushchay. "Anisotropic harmonic oscillator, non-commutative Landau problem and exotic Newton–Hooke symmetry." Physics Letters B 659, no. 5 (2008): 906–12. http://dx.doi.org/10.1016/j.physletb.2007.12.016.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Bichl, A. A., J. M. Grimstrup, H. Grosse, et al. "Non-commutative Lorentz symmetry and the origin of the Seiberg–Witten map." European Physical Journal C 24, no. 1 (2002): 165–76. http://dx.doi.org/10.1007/s100520100857.

Full text

APA, Harvard, Vancouver, ISO, and other styles

22

DZYUBENKO, ALEXANDER. "MANY-BODY EFFECTS IN LANDAU LEVELS: NON-COMMUTATIVE GEOMETRY AND SQUEEZED CORRELATED STATES." International Journal of Modern Physics B 21, no. 08n09 (2007): 1476–80. http://dx.doi.org/10.1142/s021797920704304x.

Full text

Abstract:

We discuss symmetry-driven squeezing and coherent states of few-particle systems in magnetic fields. An operator approach using canonical transformations and the SU(1, 1) algebras is developed for considering Coulomb correlations in the lowest Landau levels.

APA, Harvard, Vancouver, ISO, and other styles

23

Singh, Tejinder P. "Gravitation, and quantum theory, as emergent phenomena." Journal of Physics: Conference Series 2533, no. 1 (2023): 012013. http://dx.doi.org/10.1088/1742-6596/2533/1/012013.

Full text

Abstract:

Abstract There must exist a reformulation of quantum field theory, even at low energies, which does not depend on classical time. The octonionic theory proposes such a reformulation, leading to a pre-quantum pre-spacetime theory. The ingredients for constructing such a theory, which is also a unification of the standard model with gravitation, are : (i) the pre-quantum theory of trace dynamics – a matrix-valued Lagrangian dynamics, (ii) the spectral action principle of non-commutative geometry, (iii) the number system known as the octonions, for constructing a non-commutative manifold and for

APA, Harvard, Vancouver, ISO, and other styles

24

Blaschke, D. N., H. Grosse, and M. Schweda. "Non-commutative U(1) gauge theory on with oscillator term and BRST symmetry." Europhysics Letters (EPL) 79, no. 6 (2007): 61002. http://dx.doi.org/10.1209/0295-5075/79/61002.

Full text

APA, Harvard, Vancouver, ISO, and other styles

25

Zhang, P. M., and P. A. Horvathy. "Kohn condition and exotic Newton–Hooke symmetry in the non-commutative Landau problem." Physics Letters B 706, no. 4-5 (2012): 442–46. http://dx.doi.org/10.1016/j.physletb.2011.11.035.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

de Viola-Prioli, Ana M., and Jorge E. Viola-Prioli. "Asymmetry in the lattice of kernel functors." Glasgow Mathematical Journal 33, no. 1 (1991): 95–97. http://dx.doi.org/10.1017/s0017089500008089.

Full text

Abstract:

Much of the research done by different authors on the lattice of kernel functors (equivalently, linear topologies) has been summarized by Golan in [2]. More recently, the rings whose lattices of kernel functors are linearly ordered were introduced in [3] as a categorical generalization of valuation rings in the non-commutative case. Results (and examples) in [3] show that there is an abundance of non-commutative rings R whose lattices (R), both in Mod-R and R-Mod, are simultaneously linearly ordered; however, the question of the symmetry of this condition remained open. Here we will prove that

APA, Harvard, Vancouver, ISO, and other styles

27

Mustafa, G., Zinnat Hassan, and P. K. Sahoo. "Traversable wormhole inspired by non-commutative geometries in f(Q) gravity with conformal symmetry." Annals of Physics 437 (February 2022): 168751. http://dx.doi.org/10.1016/j.aop.2021.168751.

Full text

APA, Harvard, Vancouver, ISO, and other styles

28

HANSEN, H., A. A. OSIPOV, and B. HILLER. "Implications of a generalized heat kernel expansion for an effective QCD chiral Lagrangian with SU(3) and UA(1) breaking." International Journal of Modern Physics A 20, no. 19 (2005): 4599–608. http://dx.doi.org/10.1142/s0217751x05028260.

Full text

Abstract:

This work is a follow up of recent investigations where the implications of a generalized heat kernel expansion is studied, constructed to incorporate non-perturbatively the effects of a non-commutative quark mass matrix in a fully covariant way at each order of the expansion. As underlying Lagrangian we use the Nambu – Jona-Lasinio (NJL) model of QCD, with SUf(3) and UA(1) breaking, the latter generated by the 't Hooft flavor determinant interaction. The associated bosonized Lagrangian is derived in leading stationary phase approximation (SPA) and up to second order in the generalized heat ke

APA, Harvard, Vancouver, ISO, and other styles

29

BREEV, A. I., K. V. VASILIEV, and A. V. SHAPOVALOV. "Extension of symmetries and generalized group invariant solutions to the heat equation and the Burgers equation." Izvestiya vysshikh uchebnykh zavedenii. Fizika 67, no. 1 (2024): 99–108. https://doi.org/10.17223/00213411/67/1/12.

Full text

Abstract:

On the example of a linear one-dimensional heat equation and the related Burgers equation, symmetries in space with an additional independent variable that is not included in the equation, termed (parametrically) extended, are considered. Such symmetries are constructed using the extension of the non-commutative symmetry subalgebras of the equation. A parametric family of the group invariant solutions defined by extended symmetries is obtained. Illustrative examples of the solutions obtained are given.

APA, Harvard, Vancouver, ISO, and other styles

30

Chajda, Ivan, and Helmut Länger. "Algebras Describing Pseudocomplemented, Relatively Pseudocomplemented and Sectionally Pseudocomplemented Posets." Symmetry 13, no. 5 (2021): 753. http://dx.doi.org/10.3390/sym13050753.

Full text

Abstract:

In order to be able to use methods of universal algebra for investigating posets, we assigned to every pseudocomplemented poset, to every relatively pseudocomplemented poset and to every sectionally pseudocomplemented poset, a certain algebra (based on a commutative directoid or on a λ-lattice) which satisfies certain identities and implications. We show that the assigned algebras fully characterize the given corresponding posets. A certain kind of symmetry can be seen in the relationship between the classes of mentioned posets and the classes of directoids and λ-lattices representing these re

APA, Harvard, Vancouver, ISO, and other styles

31

Abe, Y., C. Hattori, M. Ito, M. Matsuda, M. Matsunaga, and T. Matsuoka. "Flavor Symmetry on Non-Commutative Compact Space and SU(6) x SU(2)R Model." Progress of Theoretical Physics 106, no. 6 (2001): 1275–95. http://dx.doi.org/10.1143/ptp.106.1275.

Full text

APA, Harvard, Vancouver, ISO, and other styles

32

Vacaru, Sergiu I. "Covariant renormalizable modified and massive gravity theories on (non)commutative tangent Lorentz bundles." International Journal of Geometric Methods in Modern Physics 11, no. 04 (2014): 1450032. http://dx.doi.org/10.1142/s0219887814500327.

Full text

Abstract:

The fundamental field equations in modified gravity (including general relativity; massive and bimetric theories; Hořava–Lifshitz (HL); Einstein–Finsler gravity extensions etc.) possess an important decoupling property with respect to nonholonomic frames with 2 (or 3) + 2 + 2 + ⋯ spacetime decompositions. This allows us to construct exact solutions with generic off-diagonal metrics depending on all spacetime coordinates via generating and integration functions containing (un-)broken symmetry parameters. Such nonholonomic configurations/models have a nice ultraviolet behavior and seem to be gho

APA, Harvard, Vancouver, ISO, and other styles

33

Shababi, Homa, та Andrea Addazi. "ℱ(P) quantum mechanics". International Journal of Geometric Methods in Modern Physics 17, № 09 (2020): 2050130. http://dx.doi.org/10.1142/s0219887820501303.

Full text

Abstract:

We explore the possibility to extend the Heisenberg’s uncertainty principle to a nonlinear extension of the quantum algebra related to a functional operator of the momenta as [Formula: see text]. We show that such an extension of quantum mechanics is intimately connected to the non-commutative space-time algebra and the Lorentz symmetry deformations. We show that a large class of [Formula: see text] models can introduce superluminal modes in the quantized theories. We also show that the Hořava–Lifshitz theory is related to a large class of [Formula: see text] Quantum Mechanics.

APA, Harvard, Vancouver, ISO, and other styles

34

Doliwa, Adam. "The affine Weyl group symmetry of Desargues maps and of the non-commutative Hirota–Miwa system." Physics Letters A 375, no. 9 (2011): 1219–24. http://dx.doi.org/10.1016/j.physleta.2011.01.050.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

An, Xiaogang, Xiaohong Zhang, and Yingcang Ma. "Generalized Abel-Grassmann’s Neutrosophic Extended Triplet Loop." Mathematics 7, no. 12 (2019): 1206. http://dx.doi.org/10.3390/math7121206.

Full text

Abstract:

A group is an algebraic system that characterizes symmetry. As a generalization of the concept of a group, semigroups and various non-associative groupoids can be considered as algebraic abstractions of generalized symmetry. In this paper, the notion of generalized Abel-Grassmann’s neutrosophic extended triplet loop (GAG-NET-Loop) is proposed and some properties are discussed. In particular, the following conclusions are strictly proved: (1) an algebraic system is an AG-NET-Loop if and only if it is a strong inverse AG-groupoid; (2) an algebraic system is a GAG-NET-Loop if and only if it is a

APA, Harvard, Vancouver, ISO, and other styles

36

Ashraf, Asifa, G. Mustafa, Mushtaq Ahmad, and Ibrar Hussain. "Lorentz distributed wormhole solutions in f(T) gravity with off-diagonal tetrad under conformal motions." Modern Physics Letters A 35, no. 29 (2020): 2050240. http://dx.doi.org/10.1142/s0217732320502405.

Full text

Abstract:

In this work, the possible existence of wormhole solutions have been investigated in the extended teleparallel [Formula: see text] theory of gravity by incorporating the Lorentzian source of non-commutative geometry through the conformal motion. The physical concept of conformal symmetry becomes more arguable when it is discussed in the background of non-commutative geometry, especially with the Lorentzian source. In this context, two specific different models of the extended teleparallel theory, that is, [Formula: see text], and [Formula: see text] (where [Formula: see text], [Formula: see te

APA, Harvard, Vancouver, ISO, and other styles

37

Yang, Yi, Chao Peng, Di Zhu, et al. "Synthesis and observation of non-Abelian gauge fields in real space." Science 365, no. 6457 (2019): 1021–25. http://dx.doi.org/10.1126/science.aay3183.

Full text

Abstract:

Particles placed inside an Abelian (commutative) gauge field can acquire different phases when traveling along the same path in opposite directions, as is evident from the Aharonov-Bohm effect. Such behaviors can get significantly enriched for a non-Abelian gauge field, where even the ordering of different paths cannot be switched. So far, real-space realizations of gauge fields have been limited to Abelian ones. We report an experimental synthesis of non-Abelian gauge fields in real space and the observation of the non-Abelian Aharonov-Bohm effect with classical waves and classical fluxes. On

APA, Harvard, Vancouver, ISO, and other styles

38

Carmona, José Manuel, José Luis Cortés, and José Javier Relancio. "Particle–Antiparticle Asymmetry in Relativistic Deformed Kinematics." Symmetry 13, no. 7 (2021): 1266. http://dx.doi.org/10.3390/sym13071266.

Full text

Abstract:

Relativistic deformed kinematics are usually considered a way to capture the residual effects of a fundamental quantum gravity theory. These kinematics present a non-commutative addition law for the momenta so that the total momentum of a multi-particle system depends on the specific ordering in which the momenta are composed. We explore in the present work how this property may be used to generate an asymmetry between particles and antiparticles through a particular ordering prescription, resulting in a violation of CPT symmetry. We study its consequences for muon decay, obtaining a differenc

APA, Harvard, Vancouver, ISO, and other styles

39

MELZER, EZER. "NONARCHIMEDEAN CONFORMAL FIELD THEORIES." International Journal of Modern Physics A 04, no. 18 (1989): 4877–908. http://dx.doi.org/10.1142/s0217751x89002065.

Full text

Abstract:

We present a general formalism for conformal field theories defined on a non-Archimedean field. Such theories are defined by complex-valued correlation functions of fields of a [Formula: see text]-adic variable. Conformal invariance is imposed by requiring the correlation functions to be unchanged under fractional linear transformations, the latter forming the full analogue of the conformal group in two-dimensional, euclidean space-time. All fields in the theory can be taken to be "primary", under the "non-Archimedean conformal group". The conformal symmetry fixes completely the form of all co

APA, Harvard, Vancouver, ISO, and other styles

40

Tang, Qiang, and Jau Tang. "Sedenion Algebra Model as an Extension of the Standard Model and Its Link to SU(5)." Symmetry 16, no. 5 (2024): 626. http://dx.doi.org/10.3390/sym16050626.

Full text

Abstract:

In the Standard Model, ad hoc hypotheses assume the existence of three generations of point-like leptons and quarks, which possess a point-like structure and follow the Dirac equation involving four anti-commutative matrices. In this work, we consider the sedenion hypercomplex algebra as an extension of the Standard Model and show its close link to SU(5), which is the underlying symmetry group for the grand unification theory (GUT). We first consider the direct-product quaternion model and the eight-element octonion algebra model. We show that neither the associative quaternion model nor the n

APA, Harvard, Vancouver, ISO, and other styles

41

WULKENHAAR, RAIMAR. "GRADED DIFFERENTIAL LIE ALGEBRAS AND SU(5)×U(1)-GRAND UNIFICATION." International Journal of Modern Physics A 13, no. 15 (1998): 2627–92. http://dx.doi.org/10.1142/s0217751x98001359.

Full text

Abstract:

We formulate the flipped SU(5)×U(1)-GUT within a Lie-algebraic approach to non-commutative geometry. It suffices to take the matrix Lie algebra su(5) as the input; the u(1)-part with its representation on the fermions is an algebraic consequence. The occurring Higgs multiplets (24, 5, 45, 50-representations of su(5)) are uniquely determined by the fermionic mass matrix and the spontaneous symmetry breaking pattern to SU(3)C×U(1)EM. We find the most general gauge invariant Higgs potential that is compatible with the given Higgs vacuum. Our formalism yields tree-level predictions for the masses

APA, Harvard, Vancouver, ISO, and other styles

42

Bai, Ruipu, Lixin Lin, Yan Zhang, and Chuangchuang Kang. "q-Deformations of 3-Lie Algebras." Algebra Colloquium 24, no. 03 (2017): 519–40. http://dx.doi.org/10.1142/s1005386717000347.

Full text

Abstract:

q-Deformations of 3-Lie algebras and representations of q-3-Lie algebras are discussed. A q-3-Lie algebra [Formula: see text], where [Formula: see text] and [Formula: see text], is a vector space A over a field 𝔽 with 3-ary linear multiplications [ , , ]q and [Formula: see text] from [Formula: see text] to A, and a map [Formula: see text] satisfying the q-Jacobi identity [Formula: see text] for all [Formula: see text]. If the multiplications satisfy that [Formula: see text] and [Formula: see text] is skew-symmetry, then [Formula: see text] is called a type (I)-q-3- Lie algebra. From q-Lie alge

APA, Harvard, Vancouver, ISO, and other styles

43

Sparling, George A. J. "Germ of a synthesis: space–time is spinorial, extra dimensions are time-like." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 463, no. 2083 (2007): 1665–79. http://dx.doi.org/10.1098/rspa.2007.1839.

Full text

Abstract:

A pressing issue for modern physics is the possibility of extra dimensions of space–time. Here, a novel approach to this question is put forward, with three facets: First, an integral transform is introduced into Einstein's general relativity that is non-local and spinorial. For Minkowskian space–time, the transform intertwines three spaces of six dimensions, which a priori are on an equal footing, linked by the octavic triality of Cartan. Two of these spaces are interpreted as null twistor spaces; the third may be regarded as giving space–time two extra time-like dimensions, for which the ord

APA, Harvard, Vancouver, ISO, and other styles

44

CASTRO, CARLOS. "GENERALIZED GRAVITY IN CLIFFORD SPACES, VACUUM ENERGY AND GRAND UNIFICATION." International Journal of Geometric Methods in Modern Physics 08, no. 06 (2011): 1239–58. http://dx.doi.org/10.1142/s021988781100566x.

Full text

Abstract:

Polyvector-valued gauge field theories in Clifford spaces are used to construct a novel Cl (3, 2) gauge theory of gravity that furnishes modified curvature and torsion tensors leading to important modifications of the standard gravitational action with a cosmological constant. Vacuum solutions exist which allow a cancelation of the contributions of a very large cosmological constant term and the extra terms present in the modified field equations. Generalized gravitational actions in Clifford-spaces are provided and some of their physical implications are discussed. It is shown how the 16 ferm

APA, Harvard, Vancouver, ISO, and other styles

45

Bai, Shaoyun, and Laurent Côté. "On the Rouquier dimension of wrapped Fukaya categories and a conjecture of Orlov." Compositio Mathematica 159, no. 3 (2023): 437–87. http://dx.doi.org/10.1112/s0010437x22007886.

Full text

Abstract:

We study the Rouquier dimension of wrapped Fukaya categories of Liouville manifolds and pairs, and apply this invariant to various problems in algebraic and symplectic geometry. On the algebro-geometric side, we introduce a new method based on symplectic flexibility and mirror symmetry to bound the Rouquier dimension of derived categories of coherent sheaves on certain complex algebraic varieties and stacks. These bounds are sharp in dimension at most $3$ . As an application, we resolve a well-known conjecture of Orlov for new classes of examples (e.g. toric $3$ -folds, certain log Calabi–Yau

APA, Harvard, Vancouver, ISO, and other styles

46

Bagchi, Susmit. "On the Topological Structure and Properties of Multidimensional (C, R) Space." Symmetry 12, no. 9 (2020): 1542. http://dx.doi.org/10.3390/sym12091542.

Full text

Abstract:

Generally, the linear topological spaces successfully generate Tychonoff product topology in lower dimensions. This paper proposes the construction and analysis of a multidimensional topological space based on the Cartesian product of complex and real spaces in continua. The geometry of the resulting space includes a real plane with planar rotational symmetry. The basis of topological space contains cylindrical open sets. The projection of a cylindrically symmetric continuous function in the topological space onto a complex planar subspace maintains surjectivity. The proposed construction show

APA, Harvard, Vancouver, ISO, and other styles

47

Davies, E. Brian, and J. Martin Lindsay. "Non-commutative symmetric Markov semigroups." Mathematische Zeitschrift 210, no. 1 (1992): 379–411. http://dx.doi.org/10.1007/bf02571804.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

Berg, Chris, Nantel Bergeron, Franco Saliola, Luis Serrano, and Mike Zabrocki. "A Lift of the Schur and Hall–Littlewood Bases to Non-commutative Symmetric Functions." Canadian Journal of Mathematics 66, no. 3 (2014): 525–65. http://dx.doi.org/10.4153/cjm-2013-013-0.

Full text

Abstract:

AbstractWe introduce a new basis of the algebra of non-commutative symmetric functions whose images under the forgetful map are Schur functions when indexed by a partition. Dually, we build a basis of the quasi-symmetric functions that expand positively in the fundamental quasi-symmetric functions. We then use the basis to construct a non-commutative lift of theHall–Littlewood symmetric functions with similar properties to their commutative counterparts.

APA, Harvard, Vancouver, ISO, and other styles

49

Baklouti, Amir, and Saïd Benayadi. "Symmetric Symplectic Commutative Associative Algebras and Related Lie Algebras." Algebra Colloquium 18, spec01 (2011): 973–86. http://dx.doi.org/10.1142/s100538671100085x.

Full text

Abstract:

A commutative associative algebra [Formula: see text] is called symmetric symplectic if it is endowed with both an associative non-degenerate symmetric bilinear form B and an invertible B-antisymmetric derivation D. We give a description of the commutative associative symmetric symplectic 𝕂-algebras by using the notion of T*-extension. Next, we introduce the notion of double extension of symmetric symplectic commutative associative algebras in order to give an inductive description of these algebras. Moreover, much information on the structure of symmetric commutative associative algebras is g

APA, Harvard, Vancouver, ISO, and other styles

50

Burić, M., and J. Madore. "Spherically symmetric non-commutative space: d=4." European Physical Journal C 58, no. 2 (2008): 347–53. http://dx.doi.org/10.1140/epjc/s10052-008-0748-6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!