Precision Holography for $\mathcal{N}=2^{\ast }$ on $S^4$ from type IIB Supergravity

Abstract

We find a new supersymmetric solution of type IIB supergravity which is holographically dual to the planar limit of the four-dimensional $\mathcal{N}=2^{\ast }$ supersymmetric Yang-Mills theory on $S^4$. We study a probe fundamental string in this background which is dual to a supersymmetric Wilson loop in the $\mathcal{N}=2^{\ast }$ theory. Using holography we calculate the expectation value of this line operator to leading order in the 't Hooft coupling. The result is a non-trivial function of the mass parameter of the $\mathcal{N}=2^{\ast }$ theory that precisely matches the result from supersymmetric localization.

28 pages, 4 figures

References in corpus (6)

• Holography for $\mathcal{N}=1^{\ast }$ on $S^4$
• N=2* Super-Yang-Mills Theory at Strong Coupling
• UV-divergences of Wilson Loops for Gauge/Gravity Duality
• Supersymmetric D3/D5 for massive defects on curved space
• Quantum String Test of Nonconformal Holography
• Comments on Higher Rank Wilson Loops in $\mathcal{N}=2^{\ast }$

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