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 journalReview article

    13 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 languageEnglish
    Article number152001
    Pages (from-to)1-9
    Number of pages9
    JournalJournal of Physics A: Mathematical and Theoretical
    Volume46
    Issue number15
    DOIs
    Publication statusPublished - 19 Apr 2013

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    gamma function
    Statistical mechanics
    elliptic functions
    Gamma function
    Elliptic function
    statistical mechanics
    Statistical Mechanics
    Stars
    Star
    stars
    rain
    Ising
    Integrability
    Rain
    Model
    Class

    Cite this

    Bazhanov, Vladimir V. ; Kels, Andrew P. ; Sergeev, Sergey M. / Comment on star-star relations in statistical mechanics and elliptic gamma-function identities. In: Journal of Physics A: Mathematical and Theoretical. 2013 ; Vol. 46, No. 15. pp. 1-9.
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    Comment on star-star relations in statistical mechanics and elliptic gamma-function identities. / Bazhanov, Vladimir V.; Kels, Andrew P.; Sergeev, Sergey M.

    In: Journal of Physics A: Mathematical and Theoretical, Vol. 46, No. 15, 152001, 19.04.2013, p. 1-9.

    Research output: Contribution to journalReview article

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    AU - Bazhanov, Vladimir V.

    AU - Kels, Andrew P.

    AU - Sergeev, Sergey M.

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    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

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