Braiding operator via quantum cluster algebra

Kazuhiro Hikami, Rei Inoue

    Research output: Contribution to journalArticlepeer-review

    11 Citations (Scopus)


    We construct a braiding operator in terms of the quantum dilogarithm function based on the quantum cluster algebra. We show that it is a q-deformation of the R-operator for which hyperbolic octahedron is assigned. Also shown is that, by taking q to be a root of unity, our braiding operator reduces to the Kashaev RK-matrix up to a simple gauge-transformation. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to 'Cluster algebras in mathematical physics'.

    Original languageEnglish
    Article number474006
    JournalJournal of Physics A: Mathematical and Theoretical
    Issue number47
    Publication statusPublished - Nov 28 2014

    All Science Journal Classification (ASJC) codes

    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Modelling and Simulation
    • Mathematical Physics
    • Physics and Astronomy(all)


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