Brane Gases and Stabilization of Shape Moduli with Momentum and Winding Stress

TL;DR

This paper investigates how winding and momentum modes of strings and membranes in a toy model can generate stress that dynamically stabilizes the shape of a two-dimensional internal torus.

Contribution

It demonstrates that winding and momentum modes in a brane gas model can stabilize the shape modulus of an internal torus through their stress contributions.

Findings

Winding modes induce stress that affects the shape of the torus.

Momentum modes contribute to the stabilization process.

Shape modulus can be dynamically stabilized by brane gas stress.

Abstract

In a toy model with gases of membranes and strings wrapping over a two-dimensional internal torus, we study the stabilization problem for the shape modulus. It is observed that winding modes of partially wrapped strings and momentum modes give rise to stress in the energy momentum tensor. We show that this stress dynamically stabilizes the shape modulus of the two torus.