Combinatorial point for higher spin loop models
arXiv:math-ph/0603018 · doi:10.1007/s00220-007-0225-3
Abstract
Integrable loop models associated with higher representations (spin k/2) of U_q(sl(2)) are investigated at the point q=-e^{iπ/(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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