Relevant bibliographies by topics / Loops (Group theory) Vertex operator algebras

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  2. Dissertations / Theses
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Academic literature on the topic 'Loops (Group theory) Vertex operator algebras'

Author: Grafiati
Published: 4 June 2021
Last updated: 13 February 2022

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Journal articles on the topic "Loops (Group theory) Vertex operator algebras"

1

LI, HAISHENG. "ON ABELIAN COSET GENERALIZED VERTEX ALGEBRAS." Communications in Contemporary Mathematics 03, no. 02 (2001): 287–340. http://dx.doi.org/10.1142/s0219199701000366.

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This paper studies the algebraic aspect of a general abelian coset theory with a work of Dong and Lepowsky as our main motivation. It is proved that the vacuum space ΩV (or the space of highest weight vectors) of a Heisenberg algebra in a general vertex operator algebra V has a natural generalized vertex algebra structure in the sense of Dong and Lepowsky and that the vacuum space ΩW of a V-module W is a natural ΩV-module. The automorphism group Aut ΩVΩV of the adjoint ΩV-module is studied and it is proved to be a central extension of a certain torsion free abelian group by C×. For certain sub
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DOLAN, L., and M. LANGHAM. "SYMMETRIC SUBGROUPS OF GAUGED SUPERGRAVITIES AND AdS STRING THEORY VERTEX OPERATORS." Modern Physics Letters A 14, no. 07 (1999): 517–25. http://dx.doi.org/10.1142/s0217732399000572.

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We show how the gauge symmetry representations of the massless particle content of gauged supergravities that arise in the AdS/CFT correspondences can be derived from symmetric subgroups to be carried by string theory vertex operators, although explicit vertex operator constructions of the IIB string on AdS remain elusive. Our symmetry mechanism parallels the construction of representations of the Monster group and affine algebras in terms of twisted conformal field theories, and may serve as a guide to a perturbative description of the IIB string on AdS.
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Krauel, Matthew. "A Jacobi theta series and its transformation laws." International Journal of Number Theory 10, no. 06 (2014): 1343–54. http://dx.doi.org/10.1142/s1793042114500316.

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We consider a generalization of Jacobi theta series and show that every such function is a quasi-Jacobi form. Under certain conditions we establish transformation laws for these functions with respect to the Jacobi group and prove such functions are Jacobi forms. In establishing these results, we construct other functions which are also Jacobi forms. These results are motivated by applications in the theory of vertex operator algebras.
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Kohnen, Winfried, and Geoffrey Mason. "On Generalized Modular forms and their Applications." Nagoya Mathematical Journal 192 (2008): 119–36. http://dx.doi.org/10.1017/s0027763000026003.

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AbstractWe study the Fourier coefficients of generalized modular forms f(τ) of integral weight k on subgroups Γ of finite index in the modular group. We establish two Theorems asserting that f(τ) is constant if k = 0, f(τ) has empty divisor, and the Fourier coefficients have certain rationality properties. (The result is false if the rationality assumptions are dropped.) These results are applied to the case that f(τ) has a cuspidal divisor, k is arbitrary, and Γ = Γ0(N), where we show that f(τ) is modular, indeed an eta-quotient, under natural rationality assumptions on the Fourier coefficien
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5

Thierry-Mieg, Jean, and Peter Jarvis. "SU(2/1) superchiral self-duality: a new quantum, algebraic and geometric paradigm to describe the electroweak interactions." Journal of High Energy Physics 2021, no. 4 (2021). http://dx.doi.org/10.1007/jhep04(2021)001.

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Abstract We propose an extension of the Yang-Mills paradigm from Lie algebras to internal chiral superalgebras. We replace the Lie algebra-valued connection one-form A, by a superalgebra-valued polyform $$ \tilde{A} $$ A ˜ mixing exterior-forms of all degrees and satisfying the chiral self-duality condition $$ \tilde{A} =^{\ast }{\tilde{A}}_{\chi } $$ A ˜ = ∗ A ˜ χ , where χ denotes the superalgebra grading operator. This superconnection contains Yang-Mills vectors valued in the even Lie subalgebra, together with scalars and self-dual tensors valued in the odd module, all coupling only to the
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6

Ishtiaque, Nafiz, Seyed Faroogh Moosavian, and Yehao Zhou. "Topological holography: The example of the D2-D4 brane system." SciPost Physics 9, no. 2 (2020). http://dx.doi.org/10.21468/scipostphys.9.2.017.

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We propose a toy model for holographic duality. The model is constructed by embedding a stack of NN D2-branes and KK D4-branes (with one dimensional intersection) in a 6d topological string theory. The world-volume theory on the D2-branes (resp. D4-branes) is 2d BF theory (resp. 4D Chern-Simons theory) with \mathrm{GL}_NGLN (resp. \mathrm{GL}_KGLK) gauge group. We propose that in the large NN limit the BF theory on \mathbb{R}^2ℝ2 is dual to the closed string theory on \mathbb{R}^2 \times \mathbb{R}_+ \times S^3ℝ2×ℝ+×S3 with the Chern-Simons defect on \mathbb{R} \times \mathbb{R}_+ \times S^2ℝ×
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Dissertations / Theses on the topic "Loops (Group theory) Vertex operator algebras"

1

Zhao, Wenhua. "Generalizations of two-dimensional conformal field theory : some results on jacobians and intersection numbers /." 2000. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:9965182.

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Books on the topic "Loops (Group theory) Vertex operator algebras"

1

Dong, Chongying. Generalized Vertex Algebras and Relative Vertex Operators. Birkhäuser Boston, 1993.

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J, Lepowsky, ed. Generalized vertex algebras and relative vertex operators. Birkhäuser, 1993.

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3

Steven, Rosenberg, and Clara L. Aldana. Analysis, geometry, and quantum field theory: International conference in honor of Steve Rosenberg's 60th birthday, September 26-30, 2011, Potsdam University, Potsdam, Germany. American Mathematical Society, 2012.

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Lie algebras, lie superalgebras, vertex algebras, and related topics: Southeastern Lie Theory Workshop Series 2012-2014 : Categorification of Quantum Groups and Representation Theory, April 21-22, 2012, North Carolina State University : Lie Algebras, Vertex Algebras, Integrable Systems and Applications, December 16-18, 2012, College of Charleston : Noncommutative Algebraic Geometry and Representation Theory, May 10-12, 2013, Louisiana State Vniversity : Representation Theory of Lie Algebras and Lie Superalgebras, May 16-17, 2014, University of Georgia. American Mathematical Society, 2016.

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India) International Congress of Mathematicians Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory (2010 Bangalore. Recent developments in algebraic and combinatorial aspects of representation theory: International Congress of Mathematicians Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory, August 12-16, 2010, National Institute of Advanced Studies, Bangalore, India : Conference on Algebraic and Combinatorial Approaches to Representation Theory, May 18-20, 2012, University of California, Riverside, CA. Edited by Chari, Vyjayanthi, editor of compilation and Conference on Algebraic and Combinatorial Approaches to Representation Theory (2012 : Riverside, Calif.). American Mathematical Society, 2013.

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Misra, Kailash C., Milen Yakimov, Pramod N. Achar, and Dijana Jakelic. Recent advances in representation theory, quantum groups, algebraic geometry, and related topics: AMS special sessions on geometric and algebraic aspects of representation theory and quantum groups, and noncommutative algebraic geometry, October 13-14, 2012, Tulane University, New Orleans, Louisiana. American Mathematical Society, 2014.

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Polcino, Milies César, ed. Groups, algebras and applications: XVIII Latin American Algebra Colloquium, August 3-8, 2009, São Pedro, SP, Brazil. American Mathematical Society, 2011.

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8

J, Ferrar, and Harada Koichiro 1941-, eds. The Monster and Lie algebras: Proceedings of a special research quarter at the Ohio State University, May 1996. Walter de Gruyter, 1998.

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(Editor), Joseph Ferrar, and Koichiro Harada (Editor), eds. The Monster and Lie Algebras: Proceedings of a Special Research Quarter Held at the Ohio State University, May 1996 (Ohio State University Mathematical Research Institute Publications, No 7). Walter de Gruyter, 1998.

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10

Lepowsky, James, and Chongying Dong. Generalized Vertex Operators and Relative Vertex Operators (Progress in Mathematics). Birkhäuser Boston, 1993.

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