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

Vladimir V. Bazhanov; Andrew P. Kels; Sergey M. Sergeev

doi:10.1088/1751-8113/46/15/152001

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

Vladimir V. Bazhanov, Andrew P. Kels, Sergey M. Sergeev

Research output: Contribution to journal › Review article › peer-review

19 Citations (Scopus)

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

Original language	English
Article number	152001
Pages (from-to)	1-9
Number of pages	9
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	46
Issue number	15
DOIs	https://doi.org/10.1088/1751-8113/46/15/152001
Publication status	Published - 19 Apr 2013

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10.1088/1751-8113/46/15/152001

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title = "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",

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AU - Bazhanov, Vladimir V.

AU - Kels, Andrew P.

AU - Sergeev, Sergey M.

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Y1 - 2013/4/19

N2 - 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

AB - 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

KW - star-star relation

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DO - 10.1088/1751-8113/46/15/152001

M3 - Review article

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JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

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

Abstract

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