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Spin Chains and Gustafson's Integrals

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arxiv 1611.09593 v2 pith:MD42YBWF submitted 2016-11-29 math-ph hep-thmath.MP

S.E. Derkachov , A.N. Manashov This is my paper · ORCID
classification math-phhep-thmath.MP
keywords integralsgustafsonspinarisechainchainsclassicalelements
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Gustafson's integrals are multidimensional generalizations of the classical Mellin-Barnes integrals. We show that some of these integrals arise from relations between matrix elements in Sklyanin's representation of Separated Variables in spin chain models. We also present several new integrals.

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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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