Elliptic gamma-function and multi-spin solutions of the Yang-Baxter equation.

Bazhanov Vladimir, Sergey Sergeev

    Research output: Contribution to journalArticle

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    Abstract

    We present a generalization of the master solution to the quantum Yang–Baxter equation (obtained recently in arXiv:1006.0651) to the case of multi-component continuous spin variables taking values on a circle. The Boltzmann weights are expressed in terms of the elliptic gamma-function. The associated solvable lattice model admits various equivalent descriptions, including an interaction-round-a-face formulation with positive Boltzmann weights. In the quasi-classical limit the model leads to a new series of classical discrete integrable equations on planar graphs
    Original languageEnglish
    Pages (from-to)475-496
    Number of pages22
    JournalNuclear Physics, Section B
    Volume856
    Issue number2
    DOIs
    Publication statusPublished - 11 Mar 2012

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    Vladimir, Bazhanov ; Sergeev, Sergey. / Elliptic gamma-function and multi-spin solutions of the Yang-Baxter equation. In: Nuclear Physics, Section B. 2012 ; Vol. 856, No. 2. pp. 475-496.
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    keywords = "Elliptic gamma-function, Yang-Baxter equation, Quantum integrable systems",
    author = "Bazhanov Vladimir and Sergey Sergeev",
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    Elliptic gamma-function and multi-spin solutions of the Yang-Baxter equation. / Vladimir, Bazhanov; Sergeev, Sergey.

    In: Nuclear Physics, Section B, Vol. 856, No. 2, 11.03.2012, p. 475-496.

    Research output: Contribution to journalArticle

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    T1 - Elliptic gamma-function and multi-spin solutions of the Yang-Baxter equation.

    AU - Vladimir, Bazhanov

    AU - Sergeev, Sergey

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    N2 - We present a generalization of the master solution to the quantum Yang–Baxter equation (obtained recently in arXiv:1006.0651) to the case of multi-component continuous spin variables taking values on a circle. The Boltzmann weights are expressed in terms of the elliptic gamma-function. The associated solvable lattice model admits various equivalent descriptions, including an interaction-round-a-face formulation with positive Boltzmann weights. In the quasi-classical limit the model leads to a new series of classical discrete integrable equations on planar graphs

    AB - We present a generalization of the master solution to the quantum Yang–Baxter equation (obtained recently in arXiv:1006.0651) to the case of multi-component continuous spin variables taking values on a circle. The Boltzmann weights are expressed in terms of the elliptic gamma-function. The associated solvable lattice model admits various equivalent descriptions, including an interaction-round-a-face formulation with positive Boltzmann weights. In the quasi-classical limit the model leads to a new series of classical discrete integrable equations on planar graphs

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    KW - Yang-Baxter equation

    KW - Quantum integrable systems

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    DO - 10.1016/j.nuclphysb.2011.10.032

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