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

Bazhanov Vladimir, Sergey Sergeev

    Research output: Contribution to journalArticle

    32 Citations (Scopus)
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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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