Gustafson integrals for $SL(2,\mathbb{C})$ spin magnet

A.N. Manashov; P.A. Valinevich; S.E. Derkachov

arxiv: 1612.00727 · v1 · pith:VGIS5HSTnew · submitted 2016-12-02 · 🧮 math-ph · hep-th· math.MP

Gustafson integrals for SL(2,mathbb{C}) spin magnet

S.E. Derkachov , A.N. Manashov , P.A. Valinevich This is my paper

classification 🧮 math-ph hep-thmath.MP

keywords integralsgustafsonspinmathbbanalysisarisecasechain

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It was observed recently that the multidimensional Mellin--Barnes integrals (Gustafson's integrals) arise naturally in studies of the $SL(2,R)$ spin chain models. We extend this analysis to the noncompact $SL(2,\mathbb{C})$ spin magnets and obtain integrals which generalize Gustafson's integrals to the complex case.

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Gustafson integrals for SL(2,mathbb{C}) spin magnet

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