English

The Virasoro algebra and sectors with infinite statistical dimension

Operator Algebras 2015-06-26 v2 Mathematical Physics math.MP

Abstract

We show that the sectors with lowest weight h0h\geq 0, hj2h\neq j^2, j1/2\ZZj\in {1/2}\ZZ of the local net of von Neumann algebras on the circle generated by the Virasoro algebra with central charge c=1 have infinite statistical dimension.

Cite

@article{arxiv.math/0203027,
  title  = {The Virasoro algebra and sectors with infinite statistical dimension},
  author = {Sebastiano Carpi},
  journal= {arXiv preprint arXiv:math/0203027},
  year   = {2015}
}

Comments

14 pages, minor changes, one reference added

R2 v1 2026-07-22T16:43:42.048Z