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The Holography of F-maximization

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arxiv 1302.7310 v2 pith:L5PFMSJN submitted 2013-02-28 hep-th

The Holography of F-maximization

classification hep-th
keywords theorysupergravitybackgroundsdeformationsfindsupersymmetricabjmagreement
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 2 Pith papers

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    Derives Z_{S^1×S^2} ∼ |Z_{S^3_b}|^2 for 3d N=2 SCFTs and links it holographically to supersymmetric AdS4 black hole partition functions, akin to OSV.