Smoothing out Negative Tension Brane

TL;DR

This paper introduces a modified five-dimensional gravitational model that enables smooth negative tension branes in the Randall-Sundrum setup, incorporating auxiliary fields and exploring implications for radion stabilization.

Contribution

It presents a novel extension of the gravitational action allowing arbitrary smoothing of negative tension branes, derived from auxiliary fields and related to tachyon condensation.

Findings

Extended action permits smooth negative tension branes

Model derived from auxiliary four-form field

Discusses potential radion stabilization mechanisms

Abstract

We propose an extension of the five dimensional gravitational action with an external source in order to allow arbitrary smoothing of the negative tension brane in the Randall-Sundrum model. This extended action can be derived from a model with an auxiliary four form field coupled to the gravity. We point out a further generalization of our model in relation to tachyon condensation. A possible mechanism for radion stabilization in our model is also discussed.