New branch of Kaluza-Klein compactification

TL;DR

This paper introduces a new class of warped de Sitter and deformed sphere solutions in Freund-Rubin flux compactifications, expanding the known landscape of Kaluza-Klein solutions with explicit numerical examples.

Contribution

It identifies and constructs a new branch of solutions involving warped products of de Sitter space and deformed spheres, originating from marginally stable solutions.

Findings

New solutions are explicitly constructed for p=4, q=4.

The new branch emanates from the marginally stable dS_4 x S^4 solutions.

Solutions exhibit warped geometries beyond simple product spaces.

Abstract

We found a new branch of solutions in Freund-Rubin type flux compactifications. The geometry of these solutions is described as the external space which has a de Sitter symmetry and the internal space which is topologically spherical. However, it is not a simple form of dS_p x S^q but a warped product of de Sitter space and a deformed sphere. We explicitly constructed numerical solutions for a specific case with p=4 and q=4. We show that the new branch of solutions emanates from the marginally stable solution in the branch of dS_4 x S^4 solutions.