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

Bazhanov Vladimir, Sergey Sergeev

    Research output: Contribution to journalArticlepeer-review

    40 Citations (Scopus)
    39 Downloads (Pure)


    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
    Issue number2
    Publication statusPublished - 11 Mar 2012


    Dive into the research topics of 'Elliptic gamma-function and multi-spin solutions of the Yang-Baxter equation.'. Together they form a unique fingerprint.

    Cite this