Supergravities with Minkowski x Sphere Vacua

TL;DR

This paper extends the construction of gauged supergravities with positive potentials across multiple dimensions, identifying new vacuum solutions including Minkowski x Sphere configurations and supersymmetric cosmological solutions.

Contribution

It introduces new gauged supergravity theories in various dimensions with positive potentials and constructs their vacuum solutions, including supersymmetric cosmological and pp-wave solutions.

Findings

Constructed gauged supergravities in diverse dimensions with positive potentials.

Found supersymmetric Minkowski x Sphere vacua.

Identified time-dependent supersymmetric cosmological solutions.

Abstract

Recently the authors have introduced a new gauged supergravity theory with a positive definite potential in D=6, obtained through a generalised Kaluza-Klein reduction from D=7. Of particular interest is the fact that this theory admits certain Minkowski x Sphere vacua. In this paper we extend the previous results by constructing gauged supergravities with positive definitive potentials in diverse dimensions, together with their vacuum solutions. In addition, we prove the supersymmetry of the generalised reduction ansatz. We obtain a supersymmetric solution with no form-field fluxes in the new gauged theory in D=9. This solution may be lifted to D=10, where it acquires an interpretation as a time-dependent supersymmetric cosmological solution supported purely by the dilaton. A further uplift to D=11 yields a solution describing a pp-wave.