The level one Zhu algebra for the Virasoro vertex operator algebra

DOI10.1090/CONM/753/15162zbMATH Open1487.17051OpenAlexW3080329126MaRDI QIDQ4965194

Jinwei Yang, Katrina Barron, Nathan Vander Werf

Publication date: 26 February 2021

Published in: Vertex Operator Algebras, Number Theory and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/753/15162

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) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Cites Work

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• Higher level twisted Zhu algebras
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• INDECOMPOSABLE REPRESENTATIONS OF THE LORENTZ GROUP

Related Items (4)

On rationality of C-graded vertex algebras and applications to Weyl vertex algebras under conformal flow ⋮ The level two Zhu algebra for the Heisenberg vertex operator algebra ⋮ On generators and relations for higher level Zhu algebras and applications ⋮ Zamolodchikov-Faddeev algebras for Yangian doubles at level 1

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