Moduli space of ${\cal N}=4$ Super Yang-Mills from AdS/CFT

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Main Authors: Anabalón, Andrés, Nastase, Horatiu, Nunez, Carlos, Oyarzo, Marcelo, Stuardo, Ricardo
Format: Preprint
Published: 2026
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author Anabalón, Andrés
Nastase, Horatiu
Nunez, Carlos
Oyarzo, Marcelo
Stuardo, Ricardo
author_facet Anabalón, Andrés
Nastase, Horatiu
Nunez, Carlos
Oyarzo, Marcelo
Stuardo, Ricardo
contents We study ${\cal N}=4$ super Yang-Mills theory compactified on a circle at zero temperature, with VEVs for two scalar bilinears and three independent current sources. We show that type IIB supergravity provides a complete holographic description of this setup, admitting both supersymmetric and non-supersymmetric AdS soliton solutions, which are asymptotically AdS$_5$ and smooth in the IR. The current sources correspond in (2+1) dimensions to Q-ball charge densities for $U(1)^3\subset SO(6)_R$, and are geometrically realized as twists along three angular directions of the $S^5$. We demonstrate that the bulk dynamics encodes the full vacuum structure of the dual field theory and explicitly reconstruct the supersymmetric moduli space.
format Preprint
id arxiv_https___arxiv_org_abs_2603_18141
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Moduli space of ${\cal N}=4$ Super Yang-Mills from AdS/CFT
Anabalón, Andrés
Nastase, Horatiu
Nunez, Carlos
Oyarzo, Marcelo
Stuardo, Ricardo
High Energy Physics - Theory
We study ${\cal N}=4$ super Yang-Mills theory compactified on a circle at zero temperature, with VEVs for two scalar bilinears and three independent current sources. We show that type IIB supergravity provides a complete holographic description of this setup, admitting both supersymmetric and non-supersymmetric AdS soliton solutions, which are asymptotically AdS$_5$ and smooth in the IR. The current sources correspond in (2+1) dimensions to Q-ball charge densities for $U(1)^3\subset SO(6)_R$, and are geometrically realized as twists along three angular directions of the $S^5$. We demonstrate that the bulk dynamics encodes the full vacuum structure of the dual field theory and explicitly reconstruct the supersymmetric moduli space.
title Moduli space of ${\cal N}=4$ Super Yang-Mills from AdS/CFT
topic High Energy Physics - Theory
url https://arxiv.org/abs/2603.18141