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SL(2,C) Gustafson Integrals

Derkachov, Sergey E. ; Manashov, Alexander N. ; Valinevich, Pavel A.


It was shown recently that many of the Gustafson integrals appear in studies of the SL(2, R) spin chain models. One can hope to obtain a generalization of the Gustafson integrals considering spin chain models with a different symmetry group. In this paper we analyse the spin magnet with the SL(2, C) symmetry group in case of open and periodic boundary conditions and derive several new integrals.

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