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<p>We study <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N} \)</EquationSource> </InlineEquation> = 4 super Yang-Mills theory compactified on an S<sup>1</sup> 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 that are asymptotically AdS<sub>5</sub> and smooth in the IR. The current sources correspond in 2+1 dimensions to Q-ball charge densities for U(1)<sup>3</sup> ⊂ SO(6)<sub>R</sub>, and are geometrically realized as twists along three angular directions of the S<sup>5</sup>. We demonstrate that the bulk dynamics encodes the full vacuum structure of the dual field theory and explicitly reconstruct the supersymmetric moduli space.</p>

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Moduli space of \( \mathcal{N} \) = 4 super Yang-Mills from AdS/CFT

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月21日

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  • Andrés Anabalón,
  • Horatiu Nastase,
  • Carlos Nunez,
  • Marcelo Oyarzo,
  • Ricardo Stuardo

摘要

We study N \( \mathcal{N} \) = 4 super Yang-Mills theory compactified on an S1 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 that are asymptotically AdS5 and smooth in the IR. The current sources correspond in 2+1 dimensions to Q-ball charge densities for U(1)3 ⊂ SO(6)R, and are geometrically realized as twists along three angular directions of the S5. We demonstrate that the bulk dynamics encodes the full vacuum structure of the dual field theory and explicitly reconstruct the supersymmetric moduli space.