Tetrahedron equations, boundary states and the hidden structure of U-q (D-n((1)))

Sergey Sergeev

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    Simple periodic 3D → 2D compactification of the tetrahedron equations gives the Yang–Baxter equations for various evaluation representations of \mathscr{U}_q(\widehat{sl}_n) . In this paper we construct an example of fixed non-periodic 3D boundary conditions producing a set of Yang–Baxter equations for \mathscr{U}_q\big(D_n^{(1)}\big) . These boundary conditions resemble a fusion in the hidden direction
    Original languageEnglish
    Pages (from-to)1-4
    Number of pages4
    JournalJournal of Physics A: Mathematical and Theoretical
    Volume42
    Issue number8
    DOIs
    Publication statusPublished - 27 Jan 2009

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    Yang-Baxter Equation
    Triangular pyramid
    tetrahedrons
    Boundary conditions
    Compactification
    boundary conditions
    Fusion
    Fusion reactions
    Evaluation
    fusion
    evaluation

    Cite this

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    abstract = "Simple periodic 3D → 2D compactification of the tetrahedron equations gives the Yang–Baxter equations for various evaluation representations of \mathscr{U}_q(\widehat{sl}_n) . In this paper we construct an example of fixed non-periodic 3D boundary conditions producing a set of Yang–Baxter equations for \mathscr{U}_q\big(D_n^{(1)}\big) . These boundary conditions resemble a fusion in the hidden direction",
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    year = "2009",
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    Tetrahedron equations, boundary states and the hidden structure of U-q (D-n((1))). / Sergeev, Sergey.

    In: Journal of Physics A: Mathematical and Theoretical, Vol. 42, No. 8, 27.01.2009, p. 1-4.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Tetrahedron equations, boundary states and the hidden structure of U-q (D-n((1)))

    AU - Sergeev, Sergey

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    Y1 - 2009/1/27

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    AB - Simple periodic 3D → 2D compactification of the tetrahedron equations gives the Yang–Baxter equations for various evaluation representations of \mathscr{U}_q(\widehat{sl}_n) . In this paper we construct an example of fixed non-periodic 3D boundary conditions producing a set of Yang–Baxter equations for \mathscr{U}_q\big(D_n^{(1)}\big) . These boundary conditions resemble a fusion in the hidden direction

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    JF - Journal of Physics A: Mathematical and General

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