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

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A bstractWe find a new supersymmetric solution of type IIB supergravity which is holographically dual to the planar limit of the four-dimensional N=2∗$$ \mathcal{N}={2}^{\ast } $$ supersymmetric Yang-Mills theory on… Click to show full abstract

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

Keywords: type iib; ast; iib supergravity; mathcal ast

Journal Title: Journal of High Energy Physics
Year Published: 2018

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