Flipping relation as a reduced star-star relation

Fuente: arXiv
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Autores principales: Catak, Erdal, Mullahasanoglu, Mustafa
Formato: Preprint
Publicado: 2025
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author Catak, Erdal
Mullahasanoglu, Mustafa
author_facet Catak, Erdal
Mullahasanoglu, Mustafa
contents In this paper, we consider the lens hyperbolic gamma solution to the star-star relation and the flipping relation from three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories on $S^3_b/\mathbb{Z}_r$. We explore that a certain limit of the star-star relation yields the latter symmetry transformation, which exchanges the edge interactions of two outer spins with a centrally sited spin. Furthermore, we obtain more solutions to the flipping relation in terms of the hyperbolic gamma, basic hypergeometric, and the Euler gamma functions.
format Preprint
id arxiv_https___arxiv_org_abs_2508_19941
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Flipping relation as a reduced star-star relation
Catak, Erdal
Mullahasanoglu, Mustafa
High Energy Physics - Theory
Mathematical Physics
Exactly Solvable and Integrable Systems
In this paper, we consider the lens hyperbolic gamma solution to the star-star relation and the flipping relation from three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories on $S^3_b/\mathbb{Z}_r$. We explore that a certain limit of the star-star relation yields the latter symmetry transformation, which exchanges the edge interactions of two outer spins with a centrally sited spin. Furthermore, we obtain more solutions to the flipping relation in terms of the hyperbolic gamma, basic hypergeometric, and the Euler gamma functions.
title Flipping relation as a reduced star-star relation
topic High Energy Physics - Theory
Mathematical Physics
Exactly Solvable and Integrable Systems
url https://arxiv.org/abs/2508.19941