More solutions to the decoration transformation

Fuente: arXiv
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Main Authors: Catak, Erdal, Mullahasanoglu, Mustafa
Format: Preprint
Published: 2025
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author Catak, Erdal
Mullahasanoglu, Mustafa
author_facet Catak, Erdal
Mullahasanoglu, Mustafa
contents In this work, we investigate new solutions to the decoration transformation in terms of various special functions, including the hyperbolic gamma function, the basic hypergeometric function, and the Euler gamma function. These solutions to the symmetry transformation are important to decorate Ising-like integrable lattice spin models obtained via the gauge/YBE correspondence. The integral identities represented as the solution of the decoration transformation are derived from the three-dimensional partition functions and superconformal index for the dual supersymmetric gauge theories.
format Preprint
id arxiv_https___arxiv_org_abs_2509_11842
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle More solutions to the decoration transformation
Catak, Erdal
Mullahasanoglu, Mustafa
High Energy Physics - Theory
Mathematical Physics
Exactly Solvable and Integrable Systems
In this work, we investigate new solutions to the decoration transformation in terms of various special functions, including the hyperbolic gamma function, the basic hypergeometric function, and the Euler gamma function. These solutions to the symmetry transformation are important to decorate Ising-like integrable lattice spin models obtained via the gauge/YBE correspondence. The integral identities represented as the solution of the decoration transformation are derived from the three-dimensional partition functions and superconformal index for the dual supersymmetric gauge theories.
title More solutions to the decoration transformation
topic High Energy Physics - Theory
Mathematical Physics
Exactly Solvable and Integrable Systems
url https://arxiv.org/abs/2509.11842