English

Lattice realizations of unitary minimal modular invariant partition functions

High Energy Physics - Theory 2009-10-28 v2

Abstract

The conformal spectra of the critical dilute A-D-E lattice models are studied numerically. The results strongly indicate that, in branches 1 and 2, these models provide realizations of the complete A-D-E classification of unitary minimal modular invariant partition functions given by Cappelli, Itzykson and Zuber. In branches 3 and 4 the results indicate that the modular invariant partition functions factorize. Similar factorization results are also obtained for two-colour lattice models.

Keywords

Cite

@article{arxiv.hep-th/9503098,
  title  = {Lattice realizations of unitary minimal modular invariant partition functions},
  author = {David O'Brien and Paul A. Pearce},
  journal= {arXiv preprint arXiv:hep-th/9503098},
  year   = {2009}
}

Comments

18 pages, Latex, with minor corrections and clarifications