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arXiv · 2603.18141

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

Andrés Anabalón·Horatiu Nastase·Carlos Nunez·Marcelo Oyarzo·Ricardo Stuardo
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Abstract

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.

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Andrés Anabalón, Horatiu Nastase, Carlos Nunez, Marcelo Oyarzo, Ricardo Stuardo. 2026-03-18. Moduli space of ${\cal N}=4$ Super Yang-Mills from AdS/CFT. https://arxiv.org/abs/2603.18141

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