Precision holography for $$ \mathcal{N}={2}^{\ast } $$ on S4 from type IIB supergravity

Abstract

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