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

TL;DR

This paper constructs a new supergravity solution dual to the $ =2^*$ supersymmetric Yang-Mills theory on $S^4$, and uses it to compute Wilson loop expectation values that match localization results.

Contribution

It introduces a novel supersymmetric supergravity background dual to $ =2^*$ on $S^4$ and demonstrates holographic computation of Wilson loops aligning with localization.

Findings

Holographic Wilson loop expectation values match localization results.

New supersymmetric supergravity solution for $ =2^*$ on $S^4$.

Explicit calculation of line operator expectation values.

Abstract

We find a new supersymmetric solution of type IIB supergravity which is holographically dual to the planar limit of the four-dimensional $\mathcal{N}=2^*$ 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 $\mathcal{N}=2^*$ 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 $\mathcal{N}=2^*$ theory that precisely matches the result from supersymmetric localization.