English

Sheets and associated varieties of affine vertex algebras

Representation Theory 2019-03-14 v4 Mathematical Physics math.MP Quantum Algebra

Abstract

We show that sheet closures appear as associated varieties of affine vertex algebras. Further, we give new examples of non-admissible affine vertex algebras whose associated variety is contained in the nilpotent cone. We also prove some conjectures from our previous paper and give new examples of lisse affine W-algebras.

Keywords

Cite

@article{arxiv.1601.05906,
  title  = {Sheets and associated varieties of affine vertex algebras},
  author = {Tomoyuki Arakawa and Anne Moreau},
  journal= {arXiv preprint arXiv:1601.05906},
  year   = {2019}
}

Comments

The second part of Theorem 1.1 (1) has been modified, and the second part of Theorem 1.1 (2) has been removed