English

Path Spaces and W-Fusion in Minimal Models

High Energy Physics - Theory 2010-11-01 v2

Abstract

Product forms of characters of Virasoro minimal models are obtained which factorize into (2,\odd)×(3,\even)(2,\odd)\times(3,\even) characters. These are related by generalized Rogers-Ramanujan identities to sum forms allowing for a quasiparticle interpretation. The corresponding dilogarithm identities are given and the factorization is used to analyse the related path space structure as well as the fusion of the maximally extended chiral algebra.

Cite

@article{arxiv.hep-th/9301086,
  title  = {Path Spaces and W-Fusion in Minimal Models},
  author = {J. Kellendonk and M. Rösgen and R. Varnhagen},
  journal= {arXiv preprint arXiv:hep-th/9301086},
  year   = {2010}
}

Comments

11 pages, TeX, minor adjustment to journal version, 4 PostScript figures in tar-archive (appendix, to be printed manually)

R2 v1 2026-07-22T15:44:52.040Z