De Sitter Space from Warped Supergravity Solutions

TL;DR

This paper explores warped supergravity solutions that incorporate de Sitter space, revealing their geometric structure, connection to gauged supergravities, and how lower-dimensional solutions lift to higher dimensions.

Contribution

It introduces a new class of warped supergravity solutions with de Sitter space and analyzes their geometric and physical properties, including consistent truncations and BPS solutions.

Findings

Internal space asymptotic to a cone over spheres

Gauged supergravities with non-compact gauge groups derived

BPS domain wall solutions lifted to 10/11 dimensions

Abstract

The solutions of 10 and 11 dimensional supergravity that are warped products of de Sitter space with a non-compact `internal' space are investigated. A convenient form of the metric is found and it is shown that in each case the internal space is asymptotic to a cone over a product of spheres. A consistent truncation gives gauged supergravities with non-compact gauge groups. The BPS domain wall solutions of the non-compact gauged supergravities are lifted to warped solutions in 10 or 11 dimensions.