Mass deformations of the ABJM theory: the holographic free energy

Abstract We find a class of new supersymmetric Euclidean solutions in four-dimensional maximal gauged supergravity. The holographic dual description of these backgrounds is given by a mass-deformation of the ABJM theory with general values for the R-charges. We calculate the S 3 free energy for the supergravity backgrounds and find agreement with the supersymmetric localization calculation of the free energy in the large N limit