Comment on star-star relations in statistical mechanics and elliptic gamma-function identities
classification
🧮 math-ph
cond-mat.stat-mechhep-thmath.MP
keywords
ellipticrelationstar-starclasscommentconditionconjecturedcontinuous
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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.
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