Lattice models and generalized Rogers Ramanujan identities

Details Lattice models and generalized Rogers Ramanujan identities Lattice models and generalized Rogers Ramanujan identities

1994-10-05

arxiv.org/abs/hep-th/9410033v1

Phys.Lett. B348 (1995) 377-385

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1016/0370-2693(95)00173-I

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.

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