3-dimensional integrable lattice models and the Bazhanov-Stroganov model

Gunter Von Gehlen, Stanislav Pakuliak, S. Sergeev

    Research output: A Conference proceeding or a Chapter in BookChapter

    Abstract

    After reviewing the construction of 3D integrable generalized Zamolodchikov-Bazhanov-Baxter models starting from the Sergeev mapping operator, we show how the L-operator of the 2D-integrable Bazhanov-Stroganov model follows from a Linear Problem by imposing quasi-periodicity. The 3D classical mapping and the associated 3D parametrization is used to derive isospectral transformations for the inhomogenous classical and quantum 2D-Bazhanov-Stroganov model transfer matrices
    Original languageEnglish
    Title of host publicationDifferential Geometry and Physics
    EditorsMo-Lin Ge, Weiping Zhang
    Place of PublicationSingapore
    PublisherWorld Scientific
    Pages210-220
    Number of pages11
    Volume10
    ISBN (Print)9789812703774
    DOIs
    Publication statusPublished - 2006
    EventNankai Tracts in Math. 10: Differential Geometry and Physics - , Singapore
    Duration: 1 Dec 2006 → …

    Publication series

    NameNankai Tracts in Mathematics

    Conference

    ConferenceNankai Tracts in Math. 10: Differential Geometry and Physics
    CountrySingapore
    Period1/12/06 → …

    Fingerprint

    Integrable Models
    Lattice Model
    Quasiperiodicity
    Transfer Matrix
    Operator
    Parametrization
    Model

    Cite this

    Von Gehlen, G., Pakuliak, S., & Sergeev, S. (2006). 3-dimensional integrable lattice models and the Bazhanov-Stroganov model. In M-L. Ge, & W. Zhang (Eds.), Differential Geometry and Physics (Vol. 10, pp. 210-220). (Nankai Tracts in Mathematics). Singapore: World Scientific. https://doi.org/10.1142/9789812772527_0015
    Von Gehlen, Gunter ; Pakuliak, Stanislav ; Sergeev, S. / 3-dimensional integrable lattice models and the Bazhanov-Stroganov model. Differential Geometry and Physics. editor / Mo-Lin Ge ; Weiping Zhang. Vol. 10 Singapore : World Scientific, 2006. pp. 210-220 (Nankai Tracts in Mathematics).
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    abstract = "After reviewing the construction of 3D integrable generalized Zamolodchikov-Bazhanov-Baxter models starting from the Sergeev mapping operator, we show how the L-operator of the 2D-integrable Bazhanov-Stroganov model follows from a Linear Problem by imposing quasi-periodicity. The 3D classical mapping and the associated 3D parametrization is used to derive isospectral transformations for the inhomogenous classical and quantum 2D-Bazhanov-Stroganov model transfer matrices",
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    Von Gehlen, G, Pakuliak, S & Sergeev, S 2006, 3-dimensional integrable lattice models and the Bazhanov-Stroganov model. in M-L Ge & W Zhang (eds), Differential Geometry and Physics. vol. 10, Nankai Tracts in Mathematics, World Scientific, Singapore, pp. 210-220, Nankai Tracts in Math. 10: Differential Geometry and Physics, Singapore, 1/12/06. https://doi.org/10.1142/9789812772527_0015

    3-dimensional integrable lattice models and the Bazhanov-Stroganov model. / Von Gehlen, Gunter; Pakuliak, Stanislav; Sergeev, S.

    Differential Geometry and Physics. ed. / Mo-Lin Ge; Weiping Zhang. Vol. 10 Singapore : World Scientific, 2006. p. 210-220 (Nankai Tracts in Mathematics).

    Research output: A Conference proceeding or a Chapter in BookChapter

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    N2 - After reviewing the construction of 3D integrable generalized Zamolodchikov-Bazhanov-Baxter models starting from the Sergeev mapping operator, we show how the L-operator of the 2D-integrable Bazhanov-Stroganov model follows from a Linear Problem by imposing quasi-periodicity. The 3D classical mapping and the associated 3D parametrization is used to derive isospectral transformations for the inhomogenous classical and quantum 2D-Bazhanov-Stroganov model transfer matrices

    AB - After reviewing the construction of 3D integrable generalized Zamolodchikov-Bazhanov-Baxter models starting from the Sergeev mapping operator, we show how the L-operator of the 2D-integrable Bazhanov-Stroganov model follows from a Linear Problem by imposing quasi-periodicity. The 3D classical mapping and the associated 3D parametrization is used to derive isospectral transformations for the inhomogenous classical and quantum 2D-Bazhanov-Stroganov model transfer matrices

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    Von Gehlen G, Pakuliak S, Sergeev S. 3-dimensional integrable lattice models and the Bazhanov-Stroganov model. In Ge M-L, Zhang W, editors, Differential Geometry and Physics. Vol. 10. Singapore: World Scientific. 2006. p. 210-220. (Nankai Tracts in Mathematics). https://doi.org/10.1142/9789812772527_0015