Differential graded vertex operator algebras and their Poisson algebras

DOI10.1063/5.0158828arXiv2304.11587MaRDI QIDQ6183540

Cuipo (Cuibo) Jiang, Zhengyuan Lin, Antoine Caradot

Publication date: 4 January 2024

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.11587

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Vertex operators; vertex operator algebras and related structures (17B69) Poisson algebras (17B63)

Cites Work

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• DG Poisson algebra and its universal enveloping algebra
• Zhu's algebra, \(C_2\)-algebra and \(C_2\)-cofiniteness of parafermion vertex operator algebras
• Some finite properties for vertex operator superalgebras
• Vertex operator algebras associated to representations of affine and Virasoro algebras
• Algebraic geometry of Poisson brackets
• Braided tensor categories
• Introduction to vertex operator algebras and their representations
• Modular invariance of characters of vertex operator algebras
• Zhu's algebra, the C_2 algebra, and twisted modules
• Yoneda algebras of the triplet vertex operator algebra

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