English

Towards Kac - van de Leur conjecture: locality of superconformal algebras

Representation Theory 2020-06-08 v2

Abstract

We prove locality of superconformal algebras: every pluperfect superconformal algebra is spanned by coefficients of a finite family of mutually local distributions. We also introduce quasi-Poisson algebras and show that they can be used to construct all known simple superconformal algebras.

Keywords

Cite

@article{arxiv.2006.02404,
  title  = {Towards Kac - van de Leur conjecture: locality of superconformal algebras},
  author = {Yuly Billig},
  journal= {arXiv preprint arXiv:2006.02404},
  year   = {2020}
}