Domain Wall/Cosmology correspondence in (AdS/dS)_6 x S^4 geometries

TL;DR

This paper explores the ten-dimensional origins of six-dimensional supergravity with de Sitter backgrounds, focusing on warped compactifications, brane solutions, and their relation to the DW/Cosmology correspondence.

Contribution

It demonstrates a warped compactification on S^4 in a variant massive IIA supergravity and generalizes the DW/Cosmology correspondence through modified brane solutions.

Findings

Warped compactification on S^4 identified.

Modified D4-D8 brane solutions including Euclidean branes.

Generalization of the DW/Cosmology correspondence established.

Abstract

We investigate the ten dimensional origin of six dimensional F_4 variant supergravity with supersymmetric de Sitter background. We address first the issue of spontaneous compactification, showing that it consists of a warped compactification on a four sphere of a variant massive type IIA supergravity. Moreover we illustrate how the known D4-D8 brane solution, whose near horizon geometry yields AdS_6 x S^4, is accordingly modified to a system including Euclidean branes. Finally, we discuss the relation between this latter solution and the D4-D8 brane system, showing how it represents a generalisation of the DW/Cosmology correspondence.