SL(2, C) Gustafson Integrals

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Derkachov, S.É., Manashov, A.N., Valinevich, P.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209434
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: SL(2, C) Gustafson Integrals / S.É. Derkachov, A.N. Manashov, P.A. Valinevich // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 31 назв. — англ.

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,...