Results 1 to 10 of about 39,336 (226)
BMS characters and modular invariance
Journal of High Energy Physics, 2019 We construct the characters for the highest weight representations of the 3d Bondi-Metzner-Sachs (BMS3) algebra. We reproduce our character formula by looking at singular limits from 2d CFT characters and find that our answers are identical to the ...
Arjun Bagchi, Amartya Saha, Zodinmawia
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A Universal Inductive Framework for Modular Characters and Representations
This paper introduces a novel universal inductive framework for the construction and analysis of modular characters and representations of finite groups. Building upon established principles of modular representation theory, including Brauer characters, Green's theory of vertices and sources, and Clifford theory, our framework provides a systematic and
Revista, Zen, MATH, 10
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Advanced Studies in Pure Mathematics, 2018 In this note we extend the Kac and Todorov's orbifold theory to the principal admissible representations. This gives rise to nonsymmetric transformation matrices.
Minoru Wakimoto
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Modular Representations and the Decomposition of Induced Characters: A Geometric Approach
This paper explores the intricate relationship between modular representations of finite groups and the decomposition of induced characters, employing a geometric perspective. We investigate how the geometric structure of algebraic varieties associated with group actions influences the decomposition matrices arising in modular representation theory ...
Revista, Zen, MATH, 10
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Quasi-characters in $\widehat{su(2)}$ current algebra at fractional levels
SciPost Physics Core, 2023 We study the even characters of $\widehat{su(2)}$ conformal field theories (CFTs) at admissible fractional levels obtained from the difference of the highest weight characters in the unflavoured limit. We show that admissible even character vectors arise
Sachin Grover
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Spaces of states of the two-dimensional $O(n)$ and Potts models
SciPost Physics, 2023 We determine the spaces of states of the two-dimensional $O(n)$ and $Q$-state Potts models with generic parameters $n,Q\in \mathbb{C}$ as representations of their known symmetry algebras.
Jesper Lykke Jacobsen, Sylvain Ribault, Hubert Saleur
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Conformal characters and the modular representation [PDF]
Journal of High Energy Physics, 2006 17 ...
Bantay, Peter, Gannon, Terry
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Asymptotic distribution of traces of singular moduli
Discrete Analysis, 2022 Asymptotic distribution of traces of singular moduli, Discrete Analysis 2022:4, 14 pp. This paper concerns the modular $j$-function, a famous function that is fundamental to algebraic number theory and has remarkable connections to other areas of ...
Nickolas Andersen, William Duke
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Modular invariance of string theory on AdS_3 [PDF]
, 2000 We discuss the modular invariance of the SL(2,R) WZW model. In particular, we discuss in detail the modular invariants using the \hat{sl}(2,R) characters based on the discrete unitary series of the SL(2,R) representations.
Akishi Kato +12 more
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Factorized Combinations of Virasoro Characters [PDF]
, 1999 We investigate linear combinations of characters for minimal Virasoro models which are representable as a products of several basic blocks. Our analysis is based on consideration of asymptotic behaviour of the characters in the quasi-classical limit.
Bytsko, A. G., Fring, A.
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