A rapidity-independent parameter in the star-triangle relation
R. J. Baxter
Abstract
The normalization factor in the star-triangle relation can be evaluated in a simple form by taking determinants. If we combine this with the rotation symmetries, then we can show that a certain simple quantity I has to be independent of the rapidities. In this sense it is an invariant. We evaluate it for several particular models and find it is one for self-dual models, and is related to the modulus k (or k') for the Ising, Kashiwara-Miwa and chiral Potts models.
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