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

TL;DR

This paper provides explicit formulae for truncating massive IIA supergravity on a six-sphere, constructs new AdS4 solutions with various symmetries, and analyzes their stability and physical properties.

Contribution

It introduces explicit truncation formulae and constructs new AdS4 solutions from dyonic ISO(7) supergravity, including stable non-supersymmetric solutions.

Findings

New ${ m N}=1$ SU(3)-symmetric solution

New non-supersymmetric SO(6)-symmetric solution

Stable G$_2$-invariant solution

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.