Meromorphic cosets and the classification of three-character CFT

DOI10.1007/jhep03(2023)023arXiv2212.03136OpenAlexW4323256731MaRDI QIDQ6158514

Chethan N. Gowdigere, Sunil Mukhi, Arpit Das

Publication date: 31 May 2023

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.03136

zbMATH Keywords

conformal and W symmetryconformal field models in string theoryscale and conformal symmetries

Mathematics Subject Classification ID

Quantum theory (81-XX)

Related Items

Modular differential equations with movable poles and admissible RCFT characters

Cites Work

• Unnamed Item
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• Affine vertex operator algebras and modular linear differential equations
• Irreducible vector-valued modular forms of dimension less than six
• Modular constraints on superconformal field theories
• Conformal field theory
• Rational CFT with three characters: the quasi-character approach
• Fusion rules and modular transformations in 2D conformal field theory
• Vector-valued modular functions for the modular group and the hypergeometric equation
• On classification of modular tensor categories
• Unitary representations of the Virasoro and super-Virasoro algebras
• Virasoro algebras and coset space models
• Vertex operator algebras associated to representations of affine and Virasoro algebras
• Unimodular lattices with a complete root system
• On 2d conformal field theories with two characters
• Cosets of meromorphic CFTs and modular differential equations
• Two-dimensional RCFT's without Kac-Moody symmetry
• LieART -- a Mathematica application for Lie algebras and representation theory
• Hecke relations in rational conformal field theory
• Monstrous moonshine and monstrous Lie superalgebras
• Meromorphic \(c=24\) conformal field theories
• Discreteness and integrality in conformal field theory
• Wronskian indices and rational conformal field theories
• Classifying three-character RCFTs with Wronskian index equalling 0 or 2
• Holomorphic modular bootstrap revisited
• Bootstrapping fermionic rational CFTs with three characters
• New meromorphic CFTs from cosets
• Classification of some vertex operator algebras of rank 3
• 2-dimensional vector-valued modular forms
• Monster anatomy
• Towards a classification of two-character rational conformal field theories
• The intermediate vertex subalgebras of the lattice vertex operator algebras
• Modular differential equations for characters of RCFT
• Hypergeometric series, modular linear differential equations and vector-valued modular forms
• Hecke relations, cosets and the classification of 2d RCFTs
• The Theory of Vector-Valued Modular Forms for the Modular Group
• On classification of extremal non-holomorphic conformal field theories
• Classification of extremal vertex operator algebras with two simple modules
• A mass formula for unimodular lattices with no roots
• Fermionic rational conformal field theories and modular linear differential equations
• VECTOR-VALUED MODULAR FORMS AND LINEAR DIFFERENTIAL OPERATORS
• Exceptional Vertex Operator Algebras and the Virasoro Algebra