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Combinatorial point for higher spin loop models

P. Zinn-Justin

math-pharXiv:math-ph/0603018

Abstract

Integrable loop models associated with higher representations (spin k/2) of Uq(sl(2)) are investigated at the point q=-eiπ/(k+2). The ground state eigenvalue and eigenvectors are described. Introducing inhomogeneities into the models allows to derive a sum rule for the ground state entries.

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