Non-semisimple gauging of a magical N=4 supergravity in three dimensions

Abstract

We construct a new $N=4$ non-semisimple gauged supergravity in three dimensions with $E_{6(2)}/SU(6)\times SU(2)$ scalar manifold and $SO(4)⋉{\mathbf{T}}^6$ gauge group. Depending on the values of the gauge coupling constants, the theory admits both the maximally supersymmetric $Ad{S}_3$ vacuum preserving $SO(4)$ gauge symmetry and half-supersymmetric domain walls with unbroken $SO(4)$ symmetry. We give all scalar masses at the supersymmetric $Ad{S}_3$ critical point corresponding to an $N=(4,0)$ superconformal field theory (SCFT) in two dimensions. The scalar potential also admits two flat directions corresponding to marginal deformations that preserve full supersymmetry and conformal symmetry. This $SO(4)⋉{\mathbf{T}}^6$ gauged supergravity is expected to arise from a dimensional reduction on a three-sphere of the minimal $N=(1,0)$ supergravity in six dimensions coupled to three tensor and four vector multiplets.

22 pages, no figure, typos and operator dimension corrected

References in corpus (7)

• 3D supergravity from wrapped M5-branes
• Maximally Supersymmetric AdS4 Vacua in N=4 Supergravity
• On the Magical Supergravities in Six Dimensions
• Mapping the geometry of the E6 group
• A supersymmetric reduction on the three-sphere
• Domain walls in three dimensional gauged supergravity
• Gaugings of N=4 three dimensional gauged supergravity with exceptional coset manifolds

Cited by in corpus (1)

• On Dimensional Reduction of Magical Supergravity Theories