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

TL;DR

This paper finds an ${ m N}=3$ supersymmetric solution in dyonic ISO(7) gauged supergravity and uplifts it to a massive type IIA background, proposing a duality with a three-dimensional ${ m N}=3$ Chern-Simons matter theory.

Contribution

It identifies a new ${ m N}=3$ supersymmetric vacuum in dyonic ISO(7) gauged supergravity and constructs its uplift to a massive type IIA supergravity solution.

Findings

Discovery of an ${ m N}=3$ supersymmetric $AdS_4$ vacuum.

Construction of a warped $AdS_4 imes X_6$ solution in massive IIA.

Proposal of a duality with a 3D ${ m N}=3$ Chern-Simons matter theory.

Abstract

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. This $D=10$ background should be the dual of a certain ${\cal N}=3$ Chern-Simons matter theory in three dimensions.