Vacua of ω-deformed SO(8) supergravity

We perform a detailed analysis of the vacua of omega-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 omega. Apart from describing various properties of different equilibria (390 in total), we show that as w is deformed, the SO(3), N= 1 vacuum of the de Wit-Nicolai theory becomes equivalent to a critical point in U(4) proportional to R-12 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 omega-deformation, all of which have guaranteed critical points, and some of which may be novel upliftable solutions.

Automated summary

This paper provides a detailed analysis of the vacua of omega-deformed SO(8) supergravity in four dimensions. By using numerical methods based on Tensorflow, the equilibria of the theory are tracked as the electric-magnetic deformation parameter omega varies. The study reveals a new gauging and its known uplift in IIB supergravity, and demonstrates the generic procedure employed to obtain guaranteed equilibrium and potential novel upliftable solutions through omega-deformation.