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arXiv · hep-th/0309068

Integrable Lattice Models for Conjugate $A^{(1)}_n$

Roger E. Behrend·David E. Evans
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Abstract

A new class of $A^{(1)}_n$ integrable lattice models is presented. These are interaction-round-a-face models based on fundamental nimrep graphs associated with the $A^{(1)}_n$ 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 $A^{(1)}_n$ conjugate modular invariants.

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Roger E. Behrend, David E. Evans. 2004-03-27. Integrable Lattice Models for Conjugate $A^{(1)}_n$. https://doi.org/10.1088/0305-4470%2F37%2F8%2F006

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