Permutation orbifolds of Virasoro vertex algebras and W-algebras

We study permutation orbifolds of the 2-fold and 3-fold tensor product for the Virasoro vertex algebra Vc of central charge c. In particular, we show that for all but finitely many central charges (Vc⊗3)Z3 is a W-algebra of type (2,4,5,63,7,83,93,102). We also study orbifolds of their simple quotien...

Full description

Saved in:
Bibliographic Details
Published in:Journal of algebra 2021-03, Vol.570, p.267-296
Main Authors: Milas, Antun, Penn, Michael, Sadowski, Christopher
Format: Article
Language:English
Subjects:
Vertex algebras
Virasoro algebra
W-algebras
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We study permutation orbifolds of the 2-fold and 3-fold tensor product for the Virasoro vertex algebra Vc of central charge c. In particular, we show that for all but finitely many central charges (Vc⊗3)Z3 is a W-algebra of type (2,4,5,63,7,83,93,102). We also study orbifolds of their simple quotients and obtain new realizations of certain rational affine W-algebras associated to a principal nilpotent element. Further analysis of permutation orbifolds of the celebrated (2,5)-minimal vertex algebra L−225 is presented.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2020.12.002