AdS\(_4\) solutions of massive IIA from dyonic ISO(7) supergravity

Abstract

Explicit formulae are given for the consistent truncation of massive type IIA supergravity on the six-sphere to the SU(3)--invariant sector of \(D=4\) \({\cal N}=8\) supergravity with dyonic ISO(7) gauging. These formulae are then used to construct AdS\(_4\) solutions of massive type IIA via uplift on \(S^6\) of the critical points of the \(D=4\) supergravity with at least SU(3) symmetry. We find a new \({\cal N}=1\) solution with SU(3) symmetry, a new non-supersymmetric solution with SO(6) symmetry, and recover previously known solutions. We quantise the fluxes, calculate the gravitational free energies of the solutions and discuss the stability of the non-supersymmetric ones. Among these, a (previously known) G\(_2\)--invariant solution is found to be stable.