The holography of F-maximization

We find new supersymmetric backgrounds of 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 S³. We work within an N = 2 truncation of the N = 8 supergravity theory obtained via a group theory argument. We find perfect agreement between the S³ 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.