Vacua of ω-deformed SO(8) supergravity

Abstract

Abstract We perform a detailed analysis of the vacua of ω-deformed SO(8) supergravity in four dimensions. In particular, using Tensorflow-based numerical methods, we track how the equilibria of the theory change when varying the electric-magnetic deformation parameter ω. Apart from describing various properties of different equilibria (390 in total), we show that as ω is deformed, the SO(3), $$ \mathcal{N} $$ N = 1 vacuum of the de Wit-Nicolai theory becomes equivalent to a critical point in U(4) ⋉ ℝ12 gauged supergravity with a known uplift in IIB supergravity. The procedure employed here to obtain a new gauging with a guaranteed equilibrium is generic and allows one to obtain further admissible noncompact gaugings via ω-deformation, all of which have guaranteed critical points, and some of which may be novel upliftable solutions.