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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 030, 16 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.030 (Mi sigma1329) 		 
This article is cited in 10 scientific papers (total in 10 papers)

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

Sergey É. Derkachova, Alexander N. Manashovabc, Pavel A. Valinevicha

a Saint-Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, Fontanka 27, 191023 St. Petersburg, Russia
b Institute for Theoretical Physics, University of Regensburg, D-93040 Regensburg, Germany
c Institut für Theoretische Physik, Universität Hamburg, D-22761 Hamburg, Germany
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DOI: https://doi.org/10.3842/SIGMA.2018.030
Abstract: It was shown recently that many of the Gustafson integrals appear in studies of the $\mathrm{SL}(2,\mathbb{R})$ 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 $\mathrm{SL}(2,\mathbb{C})$ symmetry group in case of open and periodic boundary conditions and derive several new integrals.
Keywords: Baxter operators; separation of variables.
Funding agency Grant number
Russian Science Foundation 14-11-00598
Deutsche Forschungsgemeinschaft MO 1801/1-2
This study was supported by the Russian Science Foundation project No 14-11-00598 and Deutsche Forschungsgemeinschaft (A. M.), grant MO 1801/1-2.
Received: January 19, 2018; in final form March 24, 2018; Published online March 31, 2018
Bibliographic databases:
Document Type: Article
MSC: 81R12; 17B80; 33C70
Language: English
Citation: Sergey É. Derkachov, Alexander N. Manashov, Pavel A. Valinevich, “$\mathrm{SL}(2,\mathbb{C})$ Gustafson Integrals”, SIGMA, 14 (2018), 030, 16 pp.
Citation in format AMSBIB
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\paper $\mathrm{SL}(2,\mathbb{C})$ Gustafson Integrals
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\papernumber 030
\totalpages 16
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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