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

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

2003-09-06

arxiv.org/abs/hep-th/0309068v2

J.Phys.A37:2937-2948,2004

Physics

High Energy Physics

High Energy Physics - Theory

18 pages. v2: minor changes, such as page 11 footnote

Scientific paper

10.1088/0305-4470/37/8/006

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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