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Supersymmetric W-algebras

Mathematical Physics 2021-09-07 v1 math.MP Representation Theory

Abstract

We develop a general theory of WW-algebras in the context of supersymmetric vertex algebras. We describe the structure of WW-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 WW-algebra associated with the odd principal nilpotent element of the Lie superalgebra gl(n+1n).\mathfrak{gl}(n+1|n).

Keywords

Cite

@article{arxiv.1901.06557,
  title  = {Supersymmetric W-algebras},
  author = {Alexander Molev and Eric Ragoucy and Uhi Rinn Suh},
  journal= {arXiv preprint arXiv:1901.06557},
  year   = {2021}
}

Comments

24pages

R2 v1 2026-06-23T07:16:40.273Z