Publication: Lens partition function, pentagon identity, and star-triangle relation
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Program
KU-Authors
KU Authors
Co-Authors
Gahramanov, Ilmar
Mullahasanoğlu, Mustafa
Advisor
Publication Date
2021
Language
English
Type
Journal Article
Journal Title
Journal ISSN
Volume Title
Abstract
We study the three-dimensional lens partition function for N=2 supersymmetric gauge dual theories on S3/Zr by using the gauge/Yang-Baxter equation correspondence. This correspondence relates supersymmetric gauge theories to exactly solvable models of statistical mechanics. The equality of partition functions for the three-dimensional supersymmetric dual theories can be written as an integral identity for hyperbolic hypergeometric functions. We obtain such an integral identity which can be written as the star-triangle relation for Ising type integrable models and as the integral pentagon identity. The latter represents the basic 2-3 Pachner move for triangulated 3-manifolds. A special case of our integral identity can be used for proving orthogonality and completeness relation of the Clebsch-Gordan coefficients for the self-dual continuous series of Uq(osp(1|2)).
Description
Source:
Physical Review D
Publisher:
American Physical Society (APS)
Keywords:
Subject
Astronomy and astrophysics, Physics