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

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



Abstract

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


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