Superfluid black branes in AdS4xS7

We consider the d = 3 N = 8 SCFT dual to AdS(4) x S-7 when held at finite temperature and chemical potential with respect to a diagonal U(1)(R) subset of SO(8) global symmetry and construct black brane solutions of D = 11 supergravity that are associated with the superfluid instability with the highest known critical temperature. We construct a rich array of solutions using different sub-truncations of SO(8) gauged supergravity finding results that strongly depend on the truncation used. Our constructions include black brane solutions associated with the Gubser-Mitra instability which preserve the U(1)(R) symmetry, and these, in turn, can have further superfluid instabilities. In addition, we also construct superfluid black branes that at zero temperature are domain walls that interpolate between the SO(8) AdS(4) vacuum in the UV, in an alternative quantisation, and the supersymmetric SU(3) x U(1) AdS(4) vacuum in the IR.