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

DOI10.1016/J.AIM.2022.108295zbMath1520.17032arXiv2006.02404WikidataQ113880986 ScholiaQ113880986MaRDI QIDQ6342033

Yuly Billig

Publication date: 3 June 2020

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.

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional Lie (super)algebras (17B65)

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