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Iterative construction of eigenfunctions of the monodromy matrix for SL(2,C) magnet

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arxiv 1401.7477 v2 pith:PDRKLBTJ submitted 2014-01-29 math-ph hep-thmath.MP

S.E. Derkachov , A.N. Manashov This is my paper · ORCID
classification math-phhep-thmath.MP
keywords eigenfunctionsmatrixiterativemonodromyspinbasiscalculatedcase
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Eigenfunctions of the matrix elements of the monodromy matrix provide a convenient basis for studies of spin chain models. We present an iterative method for constructing the eigenfunctions in the case of the SL(2,C) spin chains. We derived an explicit integral representation for the eigenfunctions and calculated the corresponding scalar products (Sklyanin's measure).

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  1. On Complex Gamma-Function Integrals

    math-ph 2019-08 conditional novelty 6.0 of 10

    Two complex gamma-function integral identities are proved directly and shown to imply star-triangle relations and the Dotsenko-Fateev duality in a classical limit.

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