${\rm SL}(2,\mathbb{C})$ Gustafson Integrals
Mathematical Physics
2018-04-03 v2 High Energy Physics - Theory
math.MP
Abstract
It was shown recently that many of the Gustafson integrals appear in studies of the 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 symmetry group in case of open and periodic boundary conditions and derive several new integrals.
Keywords
Cite
@article{arxiv.1711.07822,
title = {${\rm SL}(2,\mathbb{C})$ Gustafson Integrals},
author = {Sergey E. Derkachov and Alexander N. Manashov and Pavel A. Valinevich},
journal= {arXiv preprint arXiv:1711.07822},
year = {2018}
}