Tetrahedron Equation and Quantum R Matrices for Spin Representations of B(1) nD(1) n and D(2) n+1

Atsuo Kuniba, Sergey Sergeev

    Research output: Contribution to journalArticle

    10 Citations (Scopus)

    Abstract

    It is known that a solution of the tetrahedron equation generates infinitely many solutions of the Yang-Baxter equation via suitable reductions. In this paper this scheme is applied to an oscillator solution of the tetrahedron equation involving bosons and fermions by using special 3d boundary conditions. The resulting solutions of the Yang-Baxter equation are identified with the quantum R matrices for the spin representations of B(1)nBn(1), D(1)nDn(1) and D(2)n+1Dn+1(2).
    Original languageEnglish
    Pages (from-to)695-713
    Number of pages19
    JournalCommunications in Mathematical Physics
    Volume324
    Issue number3
    DOIs
    Publication statusPublished - 2013

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