Comment on star-star relations in statistical mechanics and elliptic gamma-function identities

Abstract

We prove a recently conjectured star-star relation, which plays the role of an integrability condition for a class of 2D Ising-type models with multicomponent continuous spin variables. Namely, we reduce this relation to an identity for elliptic gamma functions, previously obtained by Rains.

8 pages, 3 figures

References in corpus (4)

• Essays on the theory of elliptic hypergeometric functions
• Faddeev-Volkov solution of the Yang-Baxter Equation and Discrete Conformal Symmetry
• Quivers, YBE and 3-manifolds
• Emergent 3-manifolds from 4d Superconformal Indices

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