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arXiv · 1302.7310

The Holography of F-maximization

Daniel Z. Freedman·Silviu S. Pufu
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Abstract

We find new supersymmetric backgrounds of ${\cal N} = 8$ gauged supergravity in four Euclidean dimensions that are dual to deformations of ABJM theory on $S^3$. The deformations encode the most general choice of $U(1)_R$ symmetry used to define the theory on $S^3$. We work within an ${\cal N} = 2$ truncation of the ${\cal N} = 8$ supergravity theory obtained via a group theory argument. We find perfect agreement between the $S^3$ free energy computed from our supergravity backgrounds and the previous field theory computations of the same quantity based on supersymmetric localization and matrix model techniques.

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Daniel Z. Freedman, Silviu S. Pufu. 2014-01-31. The Holography of F-maximization. https://doi.org/10.1007/jhep03(2014)135

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