Integrable Lattice Models for Conjugate $A^{(1)}_n$
High Energy Physics - Theory
2008-11-26 v2 Statistical Mechanics
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
A new class of integrable lattice models is presented. These are interaction-round-a-face models based on fundamental nimrep graphs associated with the conjugate modular invariants, there being a model for each value of the rank and level. The Boltzmann weights are parameterized by elliptic theta functions and satisfy the Yang-Baxter equation for any fixed value of the elliptic nome q. At q=0, the models provide representations of the Hecke algebra and are expected to lead in the continuum limit to coset conformal field theories related to the conjugate modular invariants.
Cite
@article{arxiv.hep-th/0309068,
title = {Integrable Lattice Models for Conjugate $A^{(1)}_n$},
author = {Roger E. Behrend and David E. Evans},
journal= {arXiv preprint arXiv:hep-th/0309068},
year = {2008}
}
Comments
18 pages. v2: minor changes, such as page 11 footnote