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Precision Holography for mathcal{N}=2^(*) on S⁴ from type IIB Supergravity

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arxiv 1802.09539 v1 pith:4Y6WPVL3 submitted 2018-02-26 hep-th

Precision Holography for mathcal{N}=2^(*) on S⁴ from type IIB Supergravity

classification hep-th
keywords mathcalsupersymmetrictheorydualholographyresultsupergravitytype
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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