Flux vacua in Dirac-Born-Infeld type Einstein-Maxwell theory

TL;DR

This paper explores compactification in a Dirac-Born-Infeld gravity model, showing that the extra-dimensional sphere can have a stable minimum radius unaffected by the higher-dimensional Newton constant.

Contribution

It introduces a novel analysis of flux compactification in DBI-type gravity, revealing a stable extra space radius independent of Newton's constant.

Findings

The extra space radius has a minimum value.

The solution is derived using the effective potential method.

The minimum radius is independent of the higher-dimensional Newton constant.

Abstract

We study compactification of extra dimensions in a theory of Dirac-Born-Infeld (DBI) type gravity. We investigate the solution for Minkowski spacetime with an $S^{2}$ extra space. The solution is derived by the effective potential method in the presence of the magnetic flux on the extra sphere. We find that, in a certain model, the radius of the extra space has a minimum value independent of the higher-dimensional Newton constant in weak-field limit.