Hyperbolic and trigonometric hypergeometric solutions to the star-star equation
EUROPEAN PHYSICAL JOURNAL C, vol.82, no.9, 2022 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 82 Issue: 9
- Publication Date: 2022
- Doi Number: 10.1140/epjc/s10052-022-10661-x
- Journal Name: EUROPEAN PHYSICAL JOURNAL C
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Chemical Abstracts Core, Communication Abstracts, INSPEC, zbMATH, Directory of Open Access Journals
- Open Archive Collection: AVESIS Open Access Collection
- Istanbul University Affiliated: Yes
Abstract
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.