An ${\cal N}=3$ Solution in Dyonic ISO(7) Gauged Maximal Supergravity and Its Uplift to Massive Type IIA

Understand

We consider a certain ${\cal N}=1$ supersymmetric, SO(3)$\times$SO(3) invariant, subsector of the dyonic ISO(7)-gauged maximal supergravity in four-dimensions.

• The theory contains two scalar fields and two pseudoscalar fields.
• We look for stationary points of the scalar potential, especially the one preserving ${\cal N}=3$ supersymmetry of the original ISO(7) gauged theory.
• The ${\cal N}=3$ stationary point corresponding to the $AdS$ vacuum in the $D=4$ theory is lifted to a warped $AdS_4\times X_6$ type solution in massive type IIA supergravity.