Combinatorial point for higher spin loop models

Physics – Mathematical Physics

Scientific paper

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latest version adds some references

Scientific paper

10.1007/s00220-007-0225-3

Integrable loop models associated with higher representations (spin k/2) of
U_q(sl(2)) are investigated at the point q=-e^{i\pi/(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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