Vibrating Winding Branes, Wrapping Democracy and Stabilization of Extra Dimensions in Dilaton Gravity

TL;DR

This paper demonstrates that in dilaton gravity, winding branes can stabilize extra dimensions even with momentum modes, and this stabilization constrains the observed universe to three dimensions, with implications for matter in our universe.

Contribution

It introduces a novel stabilization mechanism for extra dimensions using winding branes in dilaton gravity, incorporating momentum modes and linking to the observed three-dimensional universe.

Findings

Stabilization achieved with winding and momentum modes

Number of observed dimensions constrained to three

Implications for matter in the observed universe

Abstract

We show that, in the context of dilaton gravity, a recently proposed democratic principle for intersection possibilities of branes winding around extra dimensions yield stabilization, even with the inclusion of momentum modes of the wrapped branes on top of the winding modes. The constraints for stabilization massaged by string theory inputs forces the number of observed dimensions to be three. We also discuss consequences of adding ordinary matter living in the observed dimensions.