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A new solution of the star-triangle relation

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abstract

We obtain a new solution to the star-triangle relation for an Ising-type model with two kinds of spin variables at each lattice site, taking continuous real values and arbitrary integer values, respectively. The Boltzmann weights are manifestly real and positive. They are expressed through the Euler gamma function and depend on sums and differences of spins at the ends of the edge.

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2025 1

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representative citing papers

Flipping relation as a reduced star-star relation

hep-th · 2025-08-27 · conditional · novelty 5.0

A specific limit of the star-star relation produces the flipping relation, and new flipping solutions are given in several gamma-function families.

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  • Flipping relation as a reduced star-star relation hep-th · 2025-08-27 · conditional · none · ref 19 · internal anchor

    A specific limit of the star-star relation produces the flipping relation, and new flipping solutions are given in several gamma-function families.