Congruence property in orbifold theory

DOI10.1090/proc/13748zbMath1432.17030arXiv1610.05291OpenAlexW2537524332MaRDI QIDQ4595982

Li Ren, Chongying Dong

Publication date: 8 December 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.05291

zbMATH Keywords

congruence subgroupmodular functionmoonshine vertex operator algebramonster groupgeneralized McKay-Thompson serieskernel of representation of modular grouprational selfdual \(C_2\)-cofinite vertex operator algebra of CFT typetwisted conformal blocks

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Relationship to Lie algebras and finite simple groups (11F22) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (5)

A short introduction to the algebra, geometry, number theory and physics of moonshine ⋮ \(S\)-matrix in permutation orbifolds ⋮ Super orbifold theory ⋮ \(S\)-matrix in orbifold theory ⋮ Moonshine modules and a question of Griess

Cites Work

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• Operator content of two-dimensional conformally invariant theories
• On quantum Galois theory
• Congruence property in conformal field theory
• Infinite-dimensional Lie algebras, theta functions and modular forms
• The friendly giant
• Framed vertex operator algebras, codes and the moonshine module
• Some finiteness properties of regular vertex operator algebras
• Regularity of rational vertex operator algebras
• Twisted representations of vertex operator algebras
• Uniform product of \(A_{g,n}(V)\) for an orbifold model \(V\) and \(G\)-twisted Zhu algebra.
• On orbifold theory
• \(\mathbb{Z}\)-graded weak modules and regularity
• Monstrous moonshine and monstrous Lie superalgebras
• Vertex operator algebras, generalized doubles and dual pairs
• Construction and classification of holomorphic vertex operator algebras
• \(C_2\)-cofiniteness of cyclic-orbifold models
• Monstrous Moonshine
• The irreducible modules and fusion rules for the parafermion vertex operator algebras
• Rationality, regularity, and 𝐶₂-cofiniteness
• Modular invariance of characters of vertex operator algebras
• On axiomatic approaches to vertex operator algebras and modules
• Modular-invariance of trace functions in orbifold theory and generalized Moonshine.

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