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Journal articles on the topic 'Orbifold structure'

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Published: 2 June 2025

Last updated: 31 July 2025

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1

BORZELLINO, JOSEPH E., and VICTOR BRUNSDEN. "THE STRATIFIED STRUCTURE OF SPACES OF SMOOTH ORBIFOLD MAPPINGS." Communications in Contemporary Mathematics 15, no. 05 (2013): 1350018. http://dx.doi.org/10.1142/s0219199713500181.

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We consider four notions of maps between smooth C∞ orbifolds [Formula: see text], [Formula: see text] with [Formula: see text] compact (without boundary). We show that one of these notions is natural and necessary in order to uniquely define the notion of orbibundle pullback. For the notion of complete orbifold map, we show that the corresponding set of Cr maps between [Formula: see text] and [Formula: see text] with the Cr topology carries the structure of a smooth C∞ Banach (r finite)/Fréchet (r = ∞) manifold. For the notion of complete reduced orbifold map, the corresponding set of Cr maps

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2

PFLAUM, M. J., H. B. POSTHUMA, X. TANG, and H. H. TSENG. "ORBIFOLD CUP PRODUCTS AND RING STRUCTURES ON HOCHSCHILD COHOMOLOGIES." Communications in Contemporary Mathematics 13, no. 01 (2011): 123–82. http://dx.doi.org/10.1142/s0219199711004142.

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In this paper, we study the Hochschild cohomology ring of convolution algebras associated to orbifolds, as well as their deformation quantizations. In the first case, the ring structure is given in terms of a wedge product on twisted polyvectorfields on the inertia orbifold. After deformation quantization, the ring structure defines a product on the cohomology of the inertia orbifold. We study the relation between this product and an S1-equivariant version of the Chen–Ruan product. In particular, we give a de Rham model for this equivariant orbifold cohomology.

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3

CASAS, J. A., F. GOMEZ, and C. MUÑOZ. "COMPLETE STRUCTURE OF Zn YUKAWA COUPLINGS." International Journal of Modern Physics A 08, no. 03 (1993): 455–505. http://dx.doi.org/10.1142/s0217751x93000187.

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We give the complete twisted Yukawa couplings for all the Zn orbifold constructions in the most general case, i.e. when orbifold deformations are considered. This includes a certain number of tasks. Namely, determination of the allowed couplings, calculation of the explicit dependence of the Yukawa couplings values on the moduli expectation values (i.e. the parameters determining the size and shape of the compactified space), etc. The final expressions are completely explicit, which allows a counting of the different Yukawa couplings for each orbifold (with and without deformations). This know

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4

Farsi, Carla, and Christopher Seaton. "Algebraic Structures Associated to Orbifold Wreath Products." Journal of K-Theory 8, no. 2 (2010): 323–38. http://dx.doi.org/10.1017/is010006009jkt121.

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AbstractWe present structure theorems in terms of inertial decompositions for the wreath product ring of an orbifold presented as the quotient of a smooth, closed manifold by a compact, connected Lie group acting almost freely. In particular we show that this ring admits λ-ring and Hopf algebra structures both abstractly and directly. This generalizes results known for global quotient orbifolds by finite groups.

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Goldin, Rebecca, Megumi Harada, Tara S. Holm, and Takashi Kimura. "The full orbifold K-theory of abelian symplectic quotients." Journal of K-Theory 8, no. 2 (2010): 339–62. http://dx.doi.org/10.1017/is010005021jkt118.

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AbstractIn their 2007 paper, Jarvis, Kaufmann, and Kimura defined the full orbifoldK-theory of an orbifold , analogous to the Chen-Ruan orbifold cohomology of in that it uses the obstruction bundle as a quantum correction to the multiplicative structure. We give an explicit algorithm for the computation of this orbifold invariant in the case when arises as an abelian symplectic quotient. To this end, we introduce the inertial K-theory associated to a T -action on a stably complex manifold M, where T is a compact abelian Lie group. Our methods are integral K-theoretic analogues of those used in

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6

Chen, Bohui, Cheng-Yong Du, and A.-Li Liao. "Banach orbifold structure on groupoids of morphisms of orbifolds." Differential Geometry and its Applications 87 (April 2023): 101975. http://dx.doi.org/10.1016/j.difgeo.2023.101975.

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7

CHEN, WEIMIN. "ON A NOTION OF MAPS BETWEEN ORBIFOLDS I: FUNCTION SPACES." Communications in Contemporary Mathematics 08, no. 05 (2006): 569–620. http://dx.doi.org/10.1142/s0219199706002246.

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This is the first of a series of papers which is devoted to a comprehensive theory of maps between orbifolds. In this paper, we define the maps in the more general context of orbispaces, and establish several basic results concerning the topological structure of the space of such maps. In particular, we show that the space of such maps of Cr class between smooth orbifolds has a natural Banach orbifold structure if the domain of the map is compact, generalizing the corresponding result in the manifold case. Motivations and applications of the theory come from string theory and the theory of pse

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8

Milanov, Todor, Yongbin Ruan, and Yefeng Shen. "Gromov–Witten theory and cycle-valued modular forms." Journal für die reine und angewandte Mathematik (Crelles Journal) 2018, no. 735 (2018): 287–315. http://dx.doi.org/10.1515/crelle-2015-0019.

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AbstractIn this paper, we review Teleman’s work on lifting Givental’s quantization of{\mathcal{L}^{(2)}_{+}{\rm GL}(H)}action for semisimple formal Gromov–Witten potential into cohomological field theory level. We apply this to obtain a global cohomological field theory for simple elliptic singularities. The extension of those cohomological field theories over large complex structure limit are mirror to cohomological field theories from elliptic orbifold projective lines of weight(3,3,3),(2,4,4),(2,3,6). Via mirror symmetry, we prove generating functions of Gromov–Witten cycles for those orbif

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9

Watts, Jordan. "The differential structure of an orbifold." Rocky Mountain Journal of Mathematics 47, no. 1 (2017): 289–327. http://dx.doi.org/10.1216/rmj-2017-47-1-289.

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10

CHANG, NGEE-PONG, DA-XI LI, and J. PÉREZ MERCADER. "ON THE ZERO COSMOLOGICAL CONSTANT SUGRA AND THE ASYMMETRIC ORBIFOLD." International Journal of Modern Physics A 04, no. 02 (1989): 287–326. http://dx.doi.org/10.1142/s0217751x89000121.

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In this paper, we give a brief review of the orbifold compactification of Superstrings and describe how the spectrum of zero-modes determines the structure of the 'low'-energy compactified theory. We show how the asymmetric orbifold can lead to a 'low'-energy N = 1 SUGRA theory that continues to have a zero cosmological constant even after supersymmetry is broken. We discuss the implications the asymmetric orbifold can have for a new scenario of the hierarchy of compactification scales.

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11

KITAZOE, T., H. NISHIMURA, and M. TABUSE. "ORBIFOLD COMPACTIFICATIONS OF D<10 DIMENSIONAL FERMIONIC HETEROTIC STRING." Modern Physics Letters A 03, no. 10 (1988): 989–97. http://dx.doi.org/10.1142/s0217732388001161.

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Starting with D<10 dimensional fermionic heterotic string models and compactifying the remaining D−4 dimensions on Z3 orbifold, we study a scheme to combine the spin structure construction and the orbifold construction. It is shown that the scheme provides us with models which can easily accomodate a small number of chiral generations.

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12

Sato, Hikaru, and M. Shimojo. "Vacuum structure of a generalized degenerate orbifold." Physics Letters B 252, no. 3 (1990): 407–11. http://dx.doi.org/10.1016/0370-2693(90)90560-s.

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13

Boyer, Charles P., and Krzysztof Galicki. "The Twistor Space of a 3-Sasakian Manifold." International Journal of Mathematics 08, no. 01 (1997): 31–60. http://dx.doi.org/10.1142/s0129167x97000032.

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Any compact 3-Sasakian manifold [Formula: see text] is a principal circle V-bundle over a compact complex orbifold [Formula: see text]. This orbifold has a contact Fano structure with a Kähler–Einstein metric of positive scalar curvature and it is the twistor space of a positive compact quaternionic Kähler orbifold [Formula: see text]. We show that many results known to hold when [Formula: see text] is a smooth manifold extend to this more general singular case. However, we construct infinite families of examples with [Formula: see text] which sharply differs from the smooth case, where there

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14

LAM, C. S. "GSO PROJECTIONS OF MODULAR-INVARIANT APERIODIC STRINGS." International Journal of Modern Physics A 03, no. 04 (1988): 913–42. http://dx.doi.org/10.1142/s0217751x88000412.

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Closed strings with aperiodic (twisted) boundary conditions and one-loop modular-invariant partition functions are studied. A systematic enumeration and prescription for obtaining all allowed GSO projections are given, thereby generalizing the known results for spin structures to orbifold and other strings whose boundary conditions are given by a product of q cyclic groups G = Zn1 × ⋯ × Znq. Before taking into account the required connection between spin and statistics, the number of allowed GSO projections is [Formula: see text], where Dij is the largest common divisor of ni and nj. After tak

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15

Buturović, Edin. "N=2 supersymmetric coset model with orbifold structure." Physics Letters B 236, no. 3 (1990): 277–82. http://dx.doi.org/10.1016/0370-2693(90)90982-c.

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16

CLEMENTS, DAVID J., and ALON E. FARAGGI. "OPEN DESCENDANTS OF NAHE-BASED FREE FERMIONIC AND TYPE I ${\mathbb Z}_2^n$ MODELS." International Journal of Modern Physics A 19, no. 17n18 (2004): 2931–70. http://dx.doi.org/10.1142/s0217751x04018464.

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The NAHE set, that underlies the realistic free fermionic models, corresponds to ℤ2×ℤ2 orbifold at an enhanced symmetry point, with (h11,h21)=(27,3). Alternatively, a manifold with the same data is obtained by starting with a ℤ2×ℤ2 orbifold at a generic point on the lattice and adding a freely acting ℤ2 involution. In this paper we study type I orientifolds on the manifolds that underlie the NAHE-based models by incorporating such freely acting shifts. We present new models in the type I vacuum which are modulated by [Formula: see text] for n=2,3. In the case of n=2, the ℤ2×ℤ2 structure is a c

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17

LAM, CHING HUNG, and HIROKI SHIMAKURA. "On orbifold constructions associated with the Leech lattice vertex operator algebra." Mathematical Proceedings of the Cambridge Philosophical Society 168, no. 2 (2018): 261–85. http://dx.doi.org/10.1017/s0305004118000658.

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AbstractIn this paper, we study orbifold constructions associated with the Leech lattice vertex operator algebra. As an application, we prove that the structure of a strongly regular holomorphic vertex operator algebra of central charge 24 is uniquely determined by its weight one Lie algebra if the Lie algebra has the type A3,43A1,2, A4,52, D4,12A2,6, A6,7, A7,4A1,13, D5,8A1,2 or D6,5A1,12 by using the reverse orbifold construction. Our result also provides alternative constructions of these vertex operator algebras (except for the case A6,7) from the Leech lattice vertex operator algebra.

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18

Arnowitt, R., and B. Dutta. "Yukawa Textures in Horava-Witten M-Theory." International Journal of Modern Physics A 16, supp01c (2001): 940–42. http://dx.doi.org/10.1142/s0217751x01008552.

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We examine the structure of the Yukawa couplings in the 11 dimensional Horava-Witten M-theory based on non-standard embeddings. We find that the CKM and quark mass hierarchies can be explained in M Theory without introducing undue fine tuning. A phenomenological example is presented satisfying all CKM and quark mass data requiring the 5-branes cluster near the second orbifold plane, and that the instanton charges of the physical orbifold plane vanish. the latter condition is explicitly realized on a Calabi-Yau manifold with del Pezzo base dP7.

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19

Arés-Gastesi, Pablo, and Indranil Biswas. "On the symplectic structure over a moduli space of orbifold projective structures." Journal of Symplectic Geometry 15, no. 3 (2017): 621–43. http://dx.doi.org/10.4310/jsg.2017.v15.n3.a1.

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20

Buchmuller, W., L. Covi, D. Emmanuel-Costa, and S. Wiesenfeldt. "Flavour Structure and Proton Decay in 6D Orbifold GUTs." Journal of High Energy Physics 2004, no. 09 (2004): 004. http://dx.doi.org/10.1088/1126-6708/2004/09/004.

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21

KAWAI, HIKARU, DAVID C. LEWELLEN, and S. H. HENRY TYE. "CONSTRUCTION OF FOUR DIMENSIONAL FERMIONIC STRING MODELS WITH A GENERALIZED SUPERCURRENT." International Journal of Modern Physics A 03, no. 01 (1988): 279–84. http://dx.doi.org/10.1142/s0217751x88000102.

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The spin structure construction of four-dimensional fermionic string models of the heterotic type is extended by considering a generalized form of the world-sheet super-current. The rules for model building are given and illustrated with two sets of examples: the original spin structure construction and the Z3 asymmetric orbifold.

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22

MOSS, S. A. "TWO-STAGE ORBIFOLD COMPACTIFICATIONS OF HETEROTIC STRINGS." International Journal of Modern Physics A 07, no. 26 (1992): 6595–608. http://dx.doi.org/10.1142/s0217751x92003021.

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Orbifold compactifications of ten-dimensional heterotic strings in a two-dimensional and a four-dimensional stage” are discussed. A classification of symmetry breaking for a class of two-stage Z3×Z3 and Z2×Z3 compactifications is made. The general structure of such models is considered, and an example spectrum calculated.

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23

HÜBSCH, TRISTAN, and SHING-TUNG YAU. "AN ${\rm SL}(2, {\mathbb C})$ ACTION ON CHIRAL RINGS AND THE MIRROR MAP." Modern Physics Letters A 07, no. 35 (1992): 3277–89. http://dx.doi.org/10.1142/s0217732392002664.

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Each transversal degree-d hypersurface ℳ in a weighted projective space defines a Landau-Ginzburg orbifold, the superpotential of which equals the defining polynomial of ℳ. For a generic such ℳ with trivial canonical class, the degree-0 (mod d) subring of the Jacobian ring (that is, the (c, c)-ring of the Landau-Ginzburg orbifold) is shown to admit an [Formula: see text] action and the corresponding Lefschetz-type decomposition. This leads to a general definition of a “large complex structure” limit, the mirror of the “large volume” limit, and the mirror images on ⊕qH3−q,q of the Hodge *-opera

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24

SHIMAKURA, HIROKI. "The automorphism group of the -orbifold of the Barnes–Wall lattice vertex operator algebra of central charge 32." Mathematical Proceedings of the Cambridge Philosophical Society 156, no. 2 (2014): 343–61. http://dx.doi.org/10.1017/s0305004113000704.

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AbstractIn this paper, we prove that the full automorphism group of the ${\mathbb Z}_2$-orbifold of the Barnes–Wall lattice vertex operator algebra of central charge 32 has the shape 227.E6(2). In order to identify the group structure, we introduce a graph structure on the Griess algebra and show that it is a rank 3 graph associated to E6(2).

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25

Suszek, R. R. "A Cartan tale of the orbifold superstring." Journal of Physics: Conference Series 2667, no. 1 (2023): 012058. http://dx.doi.org/10.1088/1742-6596/2667/1/012058.

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Abstract A geometrisation scheme internal to the category of Lie supergroups is discussed for the supersymmetric de Rham cocycles on the super-Minkowski group 𝕋 which determine the standard super-p-brane dynamics with that target, and interpreted within Cartan’s approach to the modelling of orbispaces of group actions by homotopy quotients. The ensuing higher geometric objects are shown to carry a canonical equivariant structure for the action of a discrete subgroup of 𝕋, which results in their descent to the corresponding orbifolds of 𝕋 and in the emergence of a novel class of superfield theo

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IWASAKI, Katsunori, and Shu OKADA. "On an orbifold Hamiltonian structure for the first Painlevé equation." Journal of the Mathematical Society of Japan 68, no. 3 (2016): 961–74. http://dx.doi.org/10.2969/jmsj/06830961.

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27

Sato, Takeshi. "The flat holomorphic conformal structure on the Horrocks-Mumford orbifold." Proceedings of the Japan Academy, Series A, Mathematical Sciences 67, no. 5 (1991): 178–79. http://dx.doi.org/10.3792/pjaa.67.178.

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28

Sato, Takeshi. "The Flat Holomorphic Conformal Structure on the Horrocks-Mumford Orbifold." Mathematische Nachrichten 163, no. 1 (1993): 297–304. http://dx.doi.org/10.1002/mana.19931630125.

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29

Faux, Michael, Dieter Lüst, and Burt A. Ovrut. "An M-Theory Perspective on Heterotic K3 Orbifold Compactifications." International Journal of Modern Physics A 18, no. 19 (2003): 3273–314. http://dx.doi.org/10.1142/s0217751x0301574x.

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We analyze the structure of heterotic M-theory on K3 orbifolds by presenting a comprehensive sequence of M-theoretic models constructed on the basis of local anomaly cancellation. This is facilitated by extending the technology developed in our previous papers to allow one to determine "twisted" sector states in nonprime orbifolds. These methods should naturally generalize to four-dimensional models, which are of potential phenomenological interest.

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30

RUSSO, JORGE G. "COSMOLOGICAL STRING MODELS FROM MILNE SPACES AND SL(2, ℤ) ORBIFOLD". Modern Physics Letters A 19, № 06 (2004): 421–32. http://dx.doi.org/10.1142/s0217732304013209.

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The (n + 1)-dimensional Milne universe with extra free directions is used to construct simple FRW cosmological string models in four dimensions, describing expansion in the presence of matter with p= κρ, κ = (4 - n)/3n. We then consider the n = 2 case and make SL(2, ℤ) orbifold identifications. The model is surprisingly related to the null orbifold with an extra reflection generator. The study of the string spectrum involves the theory of harmonic functions in the fundamental domain of SL(2, ℤ). In particular, from this theory one can deduce a bound for the energy gap and the fact that there a

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31

YOUM, DONAM. "BRANE WORLD IN A TOPOLOGICAL BLACK HOLES IN ASYMPTOTICALLY FLAT SPACE–TIME." Modern Physics Letters A 16, no. 26 (2001): 1703–10. http://dx.doi.org/10.1142/s0217732301005035.

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We study static brane configurations in the bulk background of the topological black holes in asymptotically flat space–time and find that such configurations are possible even for flat black hole horizon, unlike the AdS black hole case. We construct the brane world model with an orbifold structure S1/Z2 in such bulk background and study massless bulk scalar field.

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32

Walters, Samuel G. "The K-inductive structure of the noncommutative Fourier transform." MATHEMATICA SCANDINAVICA 124, no. 2 (2019): 305–19. http://dx.doi.org/10.7146/math.scand.a-114723.

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The noncommutative Fourier transform $\sigma (U)=V^{-1}$, $\sigma (V)=U$ of the irrational rotation C*-algebra $A_\theta $ (generated by canonical unitaries $U$, $V$ satisfying $VU = e^{2\pi i\theta } UV$) is shown to have the following K-inductive structure (for a concrete class of irrational parameters, containing dense $G_\delta $'s). There are approximately central matrix projections $e_1$, $e_2$, $f$ that are σ-invariant and which form a partition of unity in $K_0$ of the fixed-point orbifold $A_\theta ^\sigma $, where $f$ has the form $f = g+\sigma (g) +\sigma ^2(g)+\sigma ^3(g)$, and wh

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33

Campana, Frédéric. "Orbifoldes géométriques spéciales et classification biméromorphe des variétés kählériennes compactes." Journal of the Institute of Mathematics of Jussieu 10, no. 4 (2010): 809–934. http://dx.doi.org/10.1017/s1474748010000101.

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RésuméLe présent texte, suite de l'article paru en 2004 aux Annales de l'Institut Fourier, définit et établit les propriétés de base des orbifoldes géométriques, essentielles pour la compréhension de la structure birationnelle des variétés projectives ou Kählériennes compactes, et qui permettent d'en donner une vue synthétique globale très simple. Les démonstrations données reposent cependant sur les techniques usuelles de la géométrie algébrique/analytique. De nombreuses questions ou conjectures sont également formulées à leur sujet.Bien que les orbifoldes géométriques ne soient autres que le

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34

BERGLUND, PER, BRIAN GREENE, and TRISTAN HÜBSCH. "CLASSICAL VS. LANDAU-GINZBURG GEOMETRY OF COMPACTIFICATION." Modern Physics Letters A 07, no. 20 (1992): 1855–69. http://dx.doi.org/10.1142/s0217732392001567.

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We consider superstring compactifications where both the classical description, in terms of a Calabi-Yau manifold, and also the quantum theory is known in terms of a Landau-Ginzburg orbifold model. In particular, we study (smooth) Calabi-Yau examples in which there are obstructions to parametrizing all of the complex structure cohomology by polynomial deformations thus requiring the analysis based on exact and spectral sequences. General arguments ensure that the Landau-Ginzburg chiral ring copes with such a situation by having a non-trivial contribution from twisted sectors. Beyond the expect

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35

Feit, Paul. "Existence of orbifolds II: orbifold structures." Communications in Algebra 22, no. 7 (1994): 2405–53. http://dx.doi.org/10.1080/00927879408824969.

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McRae, Robert. "On the tensor structure of modules for compact orbifold vertex operator algebras." Mathematische Zeitschrift 296, no. 1-2 (2019): 409–52. http://dx.doi.org/10.1007/s00209-019-02445-z.

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37

Green, Leon W. "When is an Anosov flow geodesic?" Ergodic Theory and Dynamical Systems 12, no. 2 (1992): 227–32. http://dx.doi.org/10.1017/s0143385700006714.

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AbstractLet X, H+, H− be vector fields tangent, respectively, to an Anosov flow and its expanding and contracting foliations in a compact three-dimensional manifold, with γ, α+, α− one forms dual to them. If α+([H+, H−]) = α−([H+, H−]) and γ([H+, H−]) = α−([X, H−]) − α+([X, H+]), then the manifold has the structure of the unit tangent bundle of a Riemannian orbifold with geodesic flow field X.

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Saidy-Sarjoubi, Maryam, and Davoud Kamani. "Interaction of dynamical fractional branes with background fields: Superstring calculations." International Journal of Modern Physics A 32, no. 15 (2017): 1750069. http://dx.doi.org/10.1142/s0217751x17500695.

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We compute the boundary state corresponding to a fractional Dp-brane with transverse motion and internal background fields: Kalb–Ramond and a U(1) gauge field. The space–time has the orbifold structure [Formula: see text]. The calculations are in the superstring theory. Using this boundary state we shall obtain the interaction amplitude between two parallel moving fractional Dp-branes. We shall extract behavior of the interaction amplitude for large distances of the branes.

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Milas, Antun, та Michael Penn. "Permutation orbifolds of 𝔰𝔩2 vertex operator algebras". Glasnik Matematicki 55, № 2 (2020): 277–300. http://dx.doi.org/10.3336/gm.55.2.08.

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We analyze two types of permutation orbifolds: (i) S2-orbifolds of the universal level k vertex operator algebra Vk(𝔰𝔩2) and of its simple quotient Lk(𝔰𝔩2), and (ii) the S3-orbifold of the level one simple vertex operator algebra L1(𝔰𝔩2). We determine their structures and discuss related W-algebras.

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KRANIOTIS, G. V. "STRING COSMOLOGY." International Journal of Modern Physics A 15, no. 12 (2000): 1707–56. http://dx.doi.org/10.1142/s0217751x00000768.

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In this work, we review recent work on string cosmology. The need for an inflationary era is well known. Problems of Standard Cosmology such as horizon, flatness, monopole and entropy find an elegant solution in the inflationary scenario. On the other hand no adequate inflationary model has been constructed so far. In this review we discuss the attempts that have been made in the field of string theory for obtaining an adequate Cosmological Inflationary Epoch. In particular, orbifold compactifications of string theory which are constrained by target-space duality symmetry offer as natural cand

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41

Kimura, Takashi, та Ross Sweet. "Adams operations on the virtual K-theory of ℙ(1,n)". Journal of Algebra and Its Applications 16, № 08 (2016): 1750149. http://dx.doi.org/10.1142/s0219498817501493.

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We analyze the structure of the virtual (orbifold) [Formula: see text]-theory ring of the complex orbifold [Formula: see text] and its virtual Adams (or power) operations, by using the non-Abelian localization theorem of Edidin–Graham [D. Edidin and W. Graham, Nonabelian localization in equivariant [Formula: see text]-theory and Riemann–Roch for quotients, Adv. Math. 198(2) (2005) 547–582]. In particular, we identify the group of virtual line elements and obtain a natural presentation for the virtual [Formula: see text]-theory ring in terms of these virtual line elements. This yields a surject

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42

Hatzinikitas, Agapitos, and Ioannis Smyrnakis. "Boundary Structure and Module Decomposition of the Bosonic Z2 Orbifold Models with R2=1/2k." Annals of Physics 302, no. 2 (2002): 89–119. http://dx.doi.org/10.1006/aphy.2002.6331.

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HIDALGO, RUBEN A., and SAÚL QUISPE. "A NOTE ON THE CONNECTEDNESS OF THE BRANCH LOCUS OF RATIONAL MAPS." Glasgow Mathematical Journal 60, no. 1 (2017): 199–207. http://dx.doi.org/10.1017/s0017089516000665.

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AbstractMilnor proved that the moduli space Md of rational maps of degree d ≥ 2 has a complex orbifold structure of dimension 2(d − 1). Let us denote by ${\mathcal S}$d the singular locus of Md and by ${\mathcal B}$d the branch locus, that is, the equivalence classes of rational maps with non-trivial holomorphic automorphisms. Milnor observed that we may identify M2 with ℂ2 and, within that identification, that ${\mathcal B}$2 is a cubic curve; so ${\mathcal B}$2 is connected and ${\mathcal S}$2 = ∅. If d ≥ 3, then it is well known that ${\mathcal S}$d = ${\mathcal B}$d. In this paper, we use

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Bartolini, Gabriel, Antonio F. Costa, and Milagros Izquierdo. "On the orbifold structure of the moduli space of Riemann surfaces of genera four and five." Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas 108, no. 2 (2013): 769–93. http://dx.doi.org/10.1007/s13398-013-0140-8.

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van Ekeren, Jethro, Sven Möller, and Nils R. Scheithauer. "Construction and classification of holomorphic vertex operator algebras." Journal für die reine und angewandte Mathematik (Crelles Journal) 2020, no. 759 (2020): 61–99. http://dx.doi.org/10.1515/crelle-2017-0046.

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AbstractWe develop an orbifold theory for finite, cyclic groups acting on holomorphic vertex operator algebras. Then we show that Schellekens’ classification of {V_{1}}-structures of meromorphic conformal field theories of central charge 24 is a theorem on vertex operator algebras. Finally, we use these results to construct some new holomorphic vertex operator algebras of central charge 24 as lattice orbifolds.

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Kitazawa, Noriaki. "On D-brane dynamics and moduli stabilization." Modern Physics Letters A 32, no. 29 (2017): 1750150. http://dx.doi.org/10.1142/s0217732317501504.

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We discuss the effect of the dynamics of D-branes on moduli stabilization in type IIB string theory compactifications, with reference to a concrete toy model of [Formula: see text] orientifold compactification with fractional D3-branes and anti-D3-branes at orbifold fixed points. The resulting attractive forces between anti-D3-branes and D3-branes, together with the repulsive forces between anti-D3-branes and O3-planes, can affect the stability of the compact space. There are no complex structure moduli in [Formula: see text] orientifold, which should thus capture some generic features of more

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Gogberashvili, Merab. "Conformal (2 + 4)-braneworld." International Journal of Modern Physics D 26, no. 11 (2017): 1750125. http://dx.doi.org/10.1142/s0218271817501255.

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The 6D brane model is considered, where matter is trapped on the surface of a (2+4)-hyperboloid, as is suggested by the geometrical structure behind the 4D conformal group. The effective dimension of the bulk spacetime for matter fields is five, with the extra space-like and time-like domains. Using the embedding theory, the presence of the familiar factorizable 5D brane metrics in both domains is shown. These metrics with exponential warp factors are able to provide with the additional reduction of the effective spacetime dimensions down to four. It is demonstrated that the extra (1+1)-space

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ANSELMI, DAMIANO, MARCO BILLÓ, PIETRO FRÉ, ALBERTO ZAFFARONI, and LUCIANO GIRARDELLO. "ALE MANIFOLDS AND CONFORMAL FIELD THEORIES." International Journal of Modern Physics A 09, no. 17 (1994): 3007–57. http://dx.doi.org/10.1142/s0217751x94001199.

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We address the problem of constructing the family of (4,4) theories associated with the σ model on a parametrized family ℳζ of asymptotically locally Euclidean (ALE) manifolds. We rely on the ADE classification of these manifolds and on their construction as hyper-Kähler quotients, due to Kronheimer. By so doing we are able to define the family of (4,4) theories corresponding to a ℳζ family of ALE manifolds as the deformation of a solvable orbifold C2/Γ conformal field theory, Γ being a Kleinian group. We discuss the relation between the algebraic structure underlying the topological and metri

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Giaccari, Stefano, and Roberto Volpato. "A fresh view on string orbifolds." Journal of High Energy Physics 2023, no. 1 (2023). http://dx.doi.org/10.1007/jhep01(2023)173.

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Abstract In quantum field theory, an orbifold is a way to obtain a new theory from an old one by gauging a finite global symmetry. This definition of orbifold does not make sense for quantum gravity theories, that admit (conjecturally) no global symmetries. In string theory, the orbifold procedure involves the gauging of a global symmetry on the world-sheet theory describing the fundamental string. Alternatively, it is a way to obtain a new string background from an old one by quotienting some isometry.We propose a new formulation of string orbifolds in terms of the group of gauge symmetries o

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Shigemori, Masaki. "Superstrata on orbifolded backgrounds." Journal of High Energy Physics 2023, no. 2 (2023). http://dx.doi.org/10.1007/jhep02(2023)099.

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Abstract Some microstates of the Strominger-Vafa black hole are represented by smooth horizonless geometries called superstrata. The standard superstrata are deformations of AdS3 × S3, but there are also generalizations of superstrata on the orbifold (AdS3 × S3)/ℤp. In this paper, we discuss aspects of such orbifolded superstrata. We present a CFT perspective on the structure of orbifolded superstrata, showing that they can be constructed in a p-covering space of the orbifold CFT just as the standard superstrata. We also explicitly write down and study the geometry of the orbifolded superstrat

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