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arXiv · 1802.09539

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

Nikolay Bobev·Fridrik Freyr Gautason·Jesse van Muiden
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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.

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Nikolay Bobev, Fridrik Freyr Gautason, Jesse van Muiden. 2018-02-26. Precision Holography for $\mathcal{N}=2^{*}$ on $S^4$ from type IIB Supergravity. https://doi.org/10.1007/jhep04(2018)148

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