Low energy effective theory on a regularized brane in six-dimensional flux compactifications

TL;DR

This paper derives a low energy effective theory for a regularized six-dimensional braneworld with flux compactifications, demonstrating that standard four-dimensional Einstein gravity and cosmology are recovered at low energies.

Contribution

It introduces a regularized brane model in six-dimensional flux compactifications and derives the effective four-dimensional gravity theory using the gradient expansion approach.

Findings

Standard 4D Einstein gravity is recovered at low energies.

The effective equations extend to nonlinear gravity regimes.

Conventional cosmology can be reproduced in the regularized braneworld.

Abstract

Conical brane singularities in six-dimensional flux compactification models can be resolved by introducing cylindrical codimension-one branes with regular caps instead of 3-branes (a la Kaluza-Klein braneworlds with fluxes). In this paper, we consider such a regularized braneworld with axial symmetry in six-dimensional Einstein-Maxwell theory. We derive a low energy effective theory on the regularized brane by employing the gradient expansion approach, and show that standard four-dimensional Einstein gravity is recovered at low energies. Our effective equations extend to the nonlinear gravity regime, implying that conventional cosmology can be reproduced in the regularized braneworld.