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

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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Veröffentlicht in:	arXiv.org 2013-01
Hauptverfasser:	Bazhanov, Vladimir V, Kels, Andrew P, Sergeev, Sergey M
Format:	Artikel
Sprache:	eng
Schlagworte:	Continuity (mathematics) Gamma function Identities Ising model Mathematics - Mathematical Physics Physics - High Energy Physics - Theory Physics - Mathematical Physics Physics - Statistical Mechanics Statistical mechanics Two dimensional models
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Beschreibung
Zusammenfassung:	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.
ISSN:	2331-8422
DOI:	10.48550/arxiv.1301.5775