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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 043, 30 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.043
(Mi sigma1342)
 

This article is cited in 1 scientific paper (total in 1 paper)

The Hyperbolic Asymptotics of Elliptic Hypergeometric Integrals Arising in Supersymmetric Gauge Theory

Arash Arabi Ardehali

School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran
Full-text PDF (804 kB) Citations (1)
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Abstract: The purpose of this article is to demonstrate that $i)$ the framework of elliptic hypergeometric integrals (EHIs) can be extended by input from supersymmetric gauge theory, and $ii)$ analyzing the hyperbolic limit of the EHIs in the extended framework leads to a rich structure containing sharp mathematical problems of interest to supersymmetric quantum field theorists. Both of the above items have already been discussed in the theoretical physics literature. Item $i$ was demonstrated by Dolan and Osborn in 2008. Item $ii$ was discussed in the present author's Ph.D. Thesis in 2016, wherein crucial elements were borrowed from the 2006 work of Rains on the hyperbolic limit of certain classes of EHIs. This article contains a concise review of these developments, along with minor refinements and clarifying remarks, written mainly for mathematicians interested in EHIs. In particular, we work with a representation-theoretic definition of a supersymmetric gauge theory, so that readers without any background in gauge theory – but familiar with the representation theory of semi-simple Lie algebras – can follow the discussion.
Keywords: elliptic hypergeometric integrals; supersymmetric gauge theory; hyperbolic asymptotics.
Funding agency Grant number
Iran's National Elites Foundation
This work was supported in part by the National Elites Foundation of Iran.
Received: January 9, 2018; in final form April 29, 2018; Published online May 6, 2018
Bibliographic databases:
Document Type: Article
Language: English
Citation: Arash Arabi Ardehali, “The Hyperbolic Asymptotics of Elliptic Hypergeometric Integrals Arising in Supersymmetric Gauge Theory”, SIGMA, 14 (2018), 043, 30 pp.
Citation in format AMSBIB
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\paper The Hyperbolic Asymptotics of Elliptic Hypergeometric Integrals Arising in Supersymmetric Gauge Theory
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\vol 14
\papernumber 043
\totalpages 30
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Symmetry, Integrability and Geometry: Methods and Applications
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    Abstract page:154
    Full-text PDF :44
    References:30
     
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