MODIFIED TETRAHEDRON EQUATIONS AND RELATED 3D INTEGRABLE MODELS , I

HE BOOS, Vladimir V. Mangazeev, Sergey SERGEEV

    Research output: Contribution to journalArticle

    Abstract

    Using a modified version of the tetrahedron equations we construct a new family of N- state three-dimensional integrable models with commuting two-layer transfer matrices. We investigate a particular class of solutions to these equations and parametrize them in terms of elliptic functions. The corresponding models contain one free parameter, k—an elliptic modulus.
    Original languageEnglish
    Pages (from-to)4041-4063
    Number of pages23
    JournalInternational Journal of Modern Physics A
    Volume10
    Issue number28
    DOIs
    Publication statusPublished - 10 Nov 1995

    Cite this

    BOOS, HE ; Mangazeev, Vladimir V. ; SERGEEV, Sergey. / MODIFIED TETRAHEDRON EQUATIONS AND RELATED 3D INTEGRABLE MODELS , I. In: International Journal of Modern Physics A. 1995 ; Vol. 10, No. 28. pp. 4041-4063.
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    abstract = "Using a modified version of the tetrahedron equations we construct a new family of N- state three-dimensional integrable models with commuting two-layer transfer matrices. We investigate a particular class of solutions to these equations and parametrize them in terms of elliptic functions. The corresponding models contain one free parameter, k—an elliptic modulus.",
    author = "HE BOOS and Mangazeev, {Vladimir V.} and Sergey SERGEEV",
    year = "1995",
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    doi = "10.1142/S0217751X9500187X",
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    MODIFIED TETRAHEDRON EQUATIONS AND RELATED 3D INTEGRABLE MODELS , I. / BOOS, HE; Mangazeev, Vladimir V.; SERGEEV, Sergey.

    In: International Journal of Modern Physics A, Vol. 10, No. 28, 10.11.1995, p. 4041-4063.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - MODIFIED TETRAHEDRON EQUATIONS AND RELATED 3D INTEGRABLE MODELS , I

    AU - BOOS, HE

    AU - Mangazeev, Vladimir V.

    AU - SERGEEV, Sergey

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    AB - Using a modified version of the tetrahedron equations we construct a new family of N- state three-dimensional integrable models with commuting two-layer transfer matrices. We investigate a particular class of solutions to these equations and parametrize them in terms of elliptic functions. The corresponding models contain one free parameter, k—an elliptic modulus.

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