On generators and relations for higher level Zhu algebras and applications

DOI10.1016/J.JALGEBRA.2023.02.023OpenAlexW3206474027MaRDI QIDQ2694750

Katrina Barron, Darlayne Addabbo

Publication date: 4 April 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.07671

zbMATH Keywords

conformal field theoryvertex operator algebrasVirasoro algebra

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (1)

The level two Zhu algebra for the Heisenberg vertex operator algebra

Cites Work

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• Modular invariance of characters of vertex operator algebras
• SOME REMARKS ON PSEUDO-TRACE FUNCTIONS FOR ORBIFOLD MODELS ASSOCIATED WITH SYMPLECTIC FERMIONS
• The level one Zhu algebra for the Virasoro vertex operator algebra
• Higher level twisted Zhu algebras
• The level two Zhu algebra for the Heisenberg vertex operator algebra

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