Published 2022 | Version v1
Journal article Metadata-only

Hyperbolic and trigonometric hypergeometric solutions to the star-star equation

Creators

  • 1. Department of Physics, Istanbul University, 34134, Istanbul (Turkey)
  • 2. Institute of Radiation Problems, Azerbaijan National Academy of Sciences, B.Vahabzade St. 9, AZ1143, Baku (Azerbaijan)
  • 3. Department of Mathematics, Khazar University, Mehseti St. 41, AZ1096, Baku (Azerbaijan)
  • 4. Department of Physics, Bogazici University, Bebek, 34342, Istanbul (Turkey)

Description

We construct the hyperbolic and trigonometric solutions to the star-star relation via the gauge/YBE correspondence by using the three-dimensional lens partition function and superconformal index for a certain N = 2 supersymmetric gauge dual theories. 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 and basic hypergeometric functions.

Availability note (English)

Available from: http://dx.doi.org/10.1140/epjc/s10052-022-10661-x

Additional details

Identifiers

DOI
10.1140/epjc/s10052-022-10661-x;

Publishing Information

Journal Title
European Physical Journal. C, Particles and Fields (Online)
Journal Volume
82
Journal Issue
9
Journal Page Range
vp.
ISSN
1434-6052
CODEN
EPCFFB

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
53122810
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
EQUATIONS; GAUGE INVARIANCE; HYPERGEOMETRIC FUNCTIONS; MATHEMATICAL SOLUTIONS; PARTITION FUNCTIONS; STARS; STATISTICAL MECHANICS; SUPERSYMMETRY; THREE-DIMENSIONAL CALCULATIONS; THREE-DIMENSIONAL LATTICES
Descriptors DEC
CRYSTAL LATTICES; CRYSTAL STRUCTURE; FUNCTIONS; INVARIANCE PRINCIPLES; MECHANICS; SYMMETRY

Optional Information

Notes
AID: 789