Gustafson integrals for SL(2,C) spin magnet
Abstract
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,C) spin magnets and obtain integrals which generalize Gustafson's integrals to the complex case.
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