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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Baxter, R.J. (2002). A Rapidity-Independent Parameter in the Star-Triangle Relation. In: Kashiwara, M., Miwa, T. (eds) MathPhys Odyssey 2001. Progress in Mathematical Physics, vol 23. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0087-1_3
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DOI: https://doi.org/10.1007/978-1-4612-0087-1_3
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