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arXiv · 1711.07822

${\rm SL}(2,\mathbb{C})$ Gustafson Integrals

Sergey E. Derkachov·Alexander N. Manashov·Pavel A. Valinevich
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Abstract

It was shown recently that many of the Gustafson integrals appear in studies of the ${\rm SL}(2,\mathbb{R})$ 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 ${\rm SL}(2,\mathbb{C})$ symmetry group in case of open and periodic boundary conditions and derive several new integrals.

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Sergey E. Derkachov, Alexander N. Manashov, Pavel A. Valinevich. 2018-03-31. ${\rm SL}(2,\mathbb{C})$ Gustafson Integrals. https://doi.org/10.3842/sigma.2018.030

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