Supersymmetric W-algebras

We explain a general theory of W -algebras in the context of supersymmetric vertex algebras. We describe the structure of W -algebras associated with odd nilpotent elements of Lie superalgebras in terms of their free generating sets. As an application, we produce explicit free generators of the W -a...

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Bibliographic Details
Published in:Letters in mathematical physics 2021-02, Vol.111 (1), Article 6
Main Authors: Molev, Alexander, Ragoucy, Eric, Suh, Uhi Rinn
Format: Article
Language:English
Subjects:
Algebra
Complex Systems
Geometry
Group Theory and Generalizations
Mathematical and Computational Physics
Physics
Physics and Astronomy
Supersymmetry
Theoretical
Tungsten
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Summary:We explain a general theory of W -algebras in the context of supersymmetric vertex algebras. We describe the structure of W -algebras associated with odd nilpotent elements of Lie superalgebras in terms of their free generating sets. As an application, we produce explicit free generators of the W -algebra associated with the odd principal nilpotent element of the Lie superalgebra gl ( n + 1 | n ) .
ISSN:0377-9017
1573-0530
DOI:10.1007/s11005-020-01346-1