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A new solution of the star-triangle relation

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arxiv 1302.3025 v2 pith:JA5FDFV7 submitted 2013-02-13 math-ph cond-mat.stat-mechhep-thmath.MP

Andrew. P. Kels This is my paper · ORCID
classification math-phcond-mat.stat-mechhep-thmath.MP
keywords realrelationsolutionstar-trianglevaluesarbitraryboltzmanncontinuous
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On Complex Gamma-Function Integrals

    math-ph 2019-08 conditional novelty 6.0 of 10

    Two complex gamma-function integral identities are proved directly and shown to imply star-triangle relations and the Dotsenko-Fateev duality in a classical limit.

  2. Flipping relation as a reduced star-star relation

    hep-th 2025-08 conditional novelty 5.0 of 10

    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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