Simplicity of higher rank triplet W-algebras
Representation Theory
2022-06-24 v3
Abstract
We show that the higher rank triplet W-algebra is simple when p is bigger than or equal to h-1. Furthermore, we show that the Feigin-Tipunin's module over the higher rank triplet W-algebra introduced in arXiv:1002.5047 is simple if the parameter is in the closure of the fundamental alcove, and give the decomposition as a direct sum of simple modules over the affine W-algebras at level p-h.
Cite
@article{arxiv.2105.00638,
title = {Simplicity of higher rank triplet W-algebras},
author = {Shoma Sugimoto},
journal= {arXiv preprint arXiv:2105.00638},
year = {2022}
}
Comments
19 pages, to appear in IMRN