SL(2,C) Gustafson Integrals

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

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)（2018）

Russian Acad Sci

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摘要

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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关键词

Baxter operators,separation of variables