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 S4. 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.
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Bobev, N., Gautason, F.F. & van Muiden, J. Precision holography for \( \mathcal{N}={2}^{\ast } \) on S4 from type IIB supergravity. J. High Energ. Phys. 2018, 148 (2018). https://doi.org/10.1007/JHEP04(2018)148
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DOI: https://doi.org/10.1007/JHEP04(2018)148