Report/Journal Article

PUBDB-2020-00886

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png On Complex Gamma-Function Integrals

Derkachov, S. E. (Corresponding author) ; Manashov, A. N. (Corresponding author)Extern*

2020
[S.l.]

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Please use a persistent id in citations: doi:10.3842/SIGMA.2020.003  doi:10.3204/PUBDB-2020-00886

Report No.: DESY-19-116; arXiv:1908.01530

Abstract: It was observed recently that relations between matrix elements of certain operators in the ${\rm SL}(2,\mathbb R)$ spin chain models take the form of multidimensional integrals derived by R.A. Gustafson. The spin magnets with ${\rm SL}(2,\mathbb C)$ symmetry group and ${\rm L}_2(\mathbb C)$ 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.

Keyword(s): spin: chain ; higher-dimensional ; Hilbert space ; magnet ; semiclassical ; integrability ; gauge field theory ; mathematical methods ; SL(2,R)

Note: publication: SIGMA 16 (2020) 003 ; ;

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Contributing Institute(s):

1. Uni Hamburg / Theorie (UNI/TH)

Research Program(s):

1. 899 - ohne Topic (POF3-899) (POF3-899)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2020

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Database coverage:
; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint/Report Derkachov, S. E. ; Manashov, A. N. (Corresponding author)Extern*
On complex Gamma function integrals
[10.3204/PUBDB-2019-03039]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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