Higher level twisted Zhu algebras

DOI10.1063/1.3589214zbMath1317.81233arXiv1105.0108OpenAlexW3101906444MaRDI QIDQ5265989

Jethro van Ekeren

Publication date: 29 July 2015

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

Full work available at URL: https://arxiv.org/abs/1105.0108

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) Applications of Lie (super)algebras to physics, etc. (17B81) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Graded Lie (super)algebras (17B70) Smoothing in differential topology (57R10) Twisted (K)-theory; differential (K)-theory (19L50)

Related Items

A realization of certain modules for the \(N = 4\) superconformal algebra and the affine Lie algebra \(a_{2}^{(1)}\) ⋮ Higher level Zhu algebras are subquotients of universal enveloping algebras ⋮ Reflection and Transmission Coefficients of the Symmetric Barrier-Type Shifted Deng–Fan Potential ⋮ On generators and relations for higher level Zhu algebras and applications ⋮ Higher level Zhu algebras and modules for vertex operator algebras ⋮ On associative algebras, modules and twisted modules for vertex operator algebras ⋮ The level one Zhu algebra for the Virasoro vertex operator algebra

Cites Work

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• Finite vs affine \(W\)-algebras
• Vertex operator algebras associated to representations of affine and Virasoro algebras
• Vertex operator algebras and associative algebras
• Twisted representations of vertex operator algebras
• Modular invariance of characters of vertex operator algebras
• Modular-invariance of trace functions in orbifold theory and generalized Moonshine.

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