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N=2 Supersymmetric Structures on Classical W-algebras : <i>N</i>=2 Supersymmetric Structures on Classical <i>W</i>-algebras

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Authors

Ragoucy, Eric; Song, Arim; Suh, Uhi Rinn

Issue Date
2023-11
Publisher
Springer Verlag
Citation
Communications in Mathematical Physics, Vol.404 No.3, pp.1607-1640
Abstract
We describe a N=2 supersymmetric Poisson vertex algebra structure of N=1 (resp. N=0) classical W-algebra associated with sl(n+1|n)and the odd (resp.even) principal nilpotent element. This N=2 supersymmetric structure is connected to the principal sl(2|1)-embedding in sl(n+1|n)superalgebras, which are the only basic Lie superalgebras that admit such a principal embedding.
ISSN
0010-3616
URI
https://hdl.handle.net/10371/201914
DOI
https://doi.org/10.1007/s00220-023-04865-9
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  • College of Natural Sciences
  • Department of Mathematical Sciences
Research Area integrable systems, vertex algebras

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