Volume stabilization in a warped flux compactification model

TL;DR

This paper studies the stability of extra dimensions in a warped braneworld model with a scalar field, analyzing quantum corrections to the volume modulus through the one-loop effective potential.

Contribution

It introduces a detailed analysis of quantum effects on the volume stabilization in a warped flux compactification with scalar fields.

Findings

Quantum corrections can stabilize the volume modulus.

The one-loop effective potential depends on the scalar field and brane tensions.

Classical stability does not guarantee quantum stability.

Abstract

We investigate the stability of the extra dimensions in a warped, codimension two braneworld that is based upon an Einstein-Maxwell-dilaton theory with a non-vanishing scalar field potential. The braneworld solution has two 3-branes, which are located at the positions of the conical singularities. For this type of brane solution the relative positions of the branes (the shape modulus) is determined via the tension-deficit relations, if the brane tensions are fixed. However, the volume of the extra dimensions (the volume modulus) is not fixed in the context of the classical theory, implying we should take quantum corrections into account. Hence, we discuss the one-loop effective potential of the volume modulus for a massless, minimally coupled scalar field.