SL(2, C) Gustafson Integrals

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,...

Full description

Saved in:
Bibliographic Details
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
Tags: Add Tag
No Tags, Be the first to tag this record!
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.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine
Description
Summary: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 the case of open and periodic boundary conditions and derive several new integrals.
ISSN:1815-0659