Integrated correlators at strong coupling in an orbifold of $\mathcal{N}=4$ SYM

Fuente: arXiv
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Main Authors: Pini, Alessandro, Vallarino, Paolo
Format: Preprint
Published: 2024
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author Pini, Alessandro
Vallarino, Paolo
author_facet Pini, Alessandro
Vallarino, Paolo
contents We consider the $4d$ $\mathcal{N}=2$ superconformal quiver gauge theory obtained by a $\mathbb{Z}_2$ orbifold of $\mathcal{N}=4$ super Yang-Mills (SYM). By exploiting supersymmetric localization, we study the integrated correlator of two Coulomb branch and two moment map operators and the integrated correlator of four moment map operators, determining exact expressions valid for any value of the 't Hooft coupling in the planar limit. Additionally, for the second correlator, we obtain an exact expression also for the next-to-planar contribution. Then, we derive the leading terms of their strong-coupling expansions and outline the differences with respect to the $\mathcal{N}=4$ SYM theory.
format Preprint
id arxiv_https___arxiv_org_abs_2404_03466
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Integrated correlators at strong coupling in an orbifold of $\mathcal{N}=4$ SYM
Pini, Alessandro
Vallarino, Paolo
High Energy Physics - Theory
We consider the $4d$ $\mathcal{N}=2$ superconformal quiver gauge theory obtained by a $\mathbb{Z}_2$ orbifold of $\mathcal{N}=4$ super Yang-Mills (SYM). By exploiting supersymmetric localization, we study the integrated correlator of two Coulomb branch and two moment map operators and the integrated correlator of four moment map operators, determining exact expressions valid for any value of the 't Hooft coupling in the planar limit. Additionally, for the second correlator, we obtain an exact expression also for the next-to-planar contribution. Then, we derive the leading terms of their strong-coupling expansions and outline the differences with respect to the $\mathcal{N}=4$ SYM theory.
title Integrated correlators at strong coupling in an orbifold of $\mathcal{N}=4$ SYM
topic High Energy Physics - Theory
url https://arxiv.org/abs/2404.03466