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001     424726
005     20211110154441.0
024 7 _ |a Derkachov:2019ynh
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024 7 _ |a inspire:1747923
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024 7 _ |a arXiv:1908.01530
|2 arXiv
024 7 _ |a 10.3204/PUBDB-2019-03039
|2 datacite_doi
037 _ _ |a PUBDB-2019-03039
041 _ _ |a English
088 1 _ |a arXiv:1908.01530; DESY-19-116
088 _ _ |a arXiv:1908.01530
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088 _ _ |a DESY-19-116
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100 1 _ |a Derkachov, S. E.
|b 0
245 _ _ |a On complex Gamma function integrals
260 _ _ |c 2019
336 7 _ |a Preprint
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336 7 _ |a WORKING_PAPER
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336 7 _ |a Electronic Article
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336 7 _ |a preprint
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336 7 _ |a Report
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336 7 _ |a ARTICLE
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336 7 _ |a Output Types/Working Paper
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520 _ _ |a It was observed recently that relations between matrix elements of certain operators in the $\text{SL}(2,\mathbb R)$ spin chain models take the form of multidimensional integrals derived by R.A. Gustafson. The spin magnets with $\text{SL}(2,\mathbb C)$ symmetry group and $\text{L}_2(\mathbb C)$ as a local Hilbert space give rise to a new type of $\Gamma$-function integrals. In this work we present a direct calculation of two such integrals. We also analyse properties of these integrals and show that they comprise the star--triangle relations recently discussed in the literature. It is also shown that in the quasi-classical limit these integral identities are reduced to the duality relations for Dotsenko-Fateev integrals.
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588 _ _ |a Dataset connected to INSPIRE
650 _ 7 |a spin: chain
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650 _ 7 |a higher-dimensional
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650 _ 7 |a Hilbert space
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650 _ 7 |a duality
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650 _ 7 |a magnet
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700 1 _ |a Manashov, A. N.
|0 P:(DE-H253)PIP1024579
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|e Corresponding author
856 4 _ |y OpenAccess
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910 1 _ |a External Institute
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913 1 _ |a DE-HGF
|b Forschungsbereich Materie
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914 1 _ |y 2019
915 _ _ |a OpenAccess
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915 _ _ |a Published
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920 1 _ |0 I:(DE-H253)UNI_TH-20120731
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980 _ _ |a preprint
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