Lattice models and generalized Rogers Ramanujan identities
High Energy Physics - Theory
2009-10-28 v1
Abstract
We revisit the solvable lattice models described by Andrews Baxter and Forrester and their generalizations. The expressions for the local state probabilities were shown to be related to characters of the minimal models. We recompute these local state probabilities by a different method. This yields generalized Rogers Ramanujan identities, some of which recently conjectured by Kedem et al. Our method provides a proof for some cases, as well as generating new such identities.
Cite
@article{arxiv.hep-th/9410033,
title = {Lattice models and generalized Rogers Ramanujan identities},
author = {Doron Gepner},
journal= {arXiv preprint arXiv:hep-th/9410033},
year = {2009}
}