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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
- 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
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