English

Classification of positive energy representations of the Virasoro group

Representation Theory 2014-02-27 v1 Mathematical Physics math.MP

Abstract

We give a complete classification of all positive energy unitary representations of the Virasoro group. More precisely, we prove that every such representation can be expressed in an essentially unique way as a direct integral of irreducible highest weight representations.

Keywords

Cite

@article{arxiv.1402.6572,
  title  = {Classification of positive energy representations of the Virasoro group},
  author = {Hadi Salmasian and Karl-Hermann Neeb},
  journal= {arXiv preprint arXiv:1402.6572},
  year   = {2014}
}