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,...

Повний опис

Збережено в:
Бібліографічні деталі
Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2018
Автори: Derkachov, S.É., Manashov, A.N., Valinevich, P.A.
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут математики НАН України 2018
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/209434
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
Опис
Резюме: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