English

Unitarity of minimal $W$-algebras

Representation Theory 2024-08-05 v2

Abstract

We obtain a complete classification of minimal simple unitary WW-algebras.

Keywords

Cite

@article{arxiv.2012.14643,
  title  = {Unitarity of minimal $W$-algebras},
  author = {Victor G. Kac and Pierluigi Möseneder Frajria and Paolo Papi},
  journal= {arXiv preprint arXiv:2012.14643},
  year   = {2024}
}

Comments

This paper has been superseded by ArXiv:2208.02101, where we begin a systematic study of unitary representations of minimal W-algebras. As a special case, we classify unitary minimal W-algebras, fixing a gap in the proof of Theorem 6.4