Local Lagrangian for Exponentially Large Extra Dimensions

TL;DR

This paper presents a local action formulation for large extra dimensions stabilization, extending the AHSW model to broader theoretical contexts including supersymmetry and cosmology.

Contribution

It provides an explicit local action that generalizes the AHSW stabilization scenario to non-Poincare invariant, supersymmetric, quantum, and cosmological frameworks.

Findings

Constructed a local action using four-form gauge fields.

Achieved invariance under higher general coordinate transformations.

Enabled extensions to supersymmetry and cosmological models.

Abstract

We write an explicit local action for a large extra dimensions stabilization scenario due to Arkani-Hamed, Hall, Smith and Weiner (AHSW). Our action allows the AHSW proposal to be generalized to non-Poincare invariant configurations, supersymmetric extensions, quantum effective field theory, and cosmological scenarios. The central step in constructing the action is working in terms of the four form gauge field which is the "electric-magnetic" dual to the "magnetic" scalar of AHSW. The action is manifestly invariant under higher general coordinate invariance.