ar X iv : h ep - t h / 03 09 06 8 v 1 6 S ep 2 00 3 Integrable Lattice Models for Conjugate A ( 1 ) n Roger
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چکیده
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 with torus partition functions described by the A (1) n conjugate modular invariants.
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تاریخ انتشار 2003