Hierarchy Stabilization in Warped Supersymmetry

TL;DR

This paper demonstrates how large warp hierarchies can be naturally stabilized in supersymmetric models using simple Yang-Mills sectors, without fine-tuning, by deriving an effective 4D theory that captures the non-perturbative stabilization dynamics.

Contribution

It introduces a supersymmetric extension of the Randall-Sundrum model with a simple stabilization mechanism using two Yang-Mills sectors, providing a systematic derivation of the effective theory.

Findings

Large warp factors can be generated without fine-tuning.

The effective 4D theory captures non-perturbative stabilization dynamics.

The model naturally achieves hierarchy stabilization in supersymmetric compactifications.

Abstract

We show that exponentially large warp factor hierarchies can be dynamically generated in supersymmetric compactifications. The compactification we consider is the supersymmetric extension of the Randall-Sundrum model. The crucial issue is the stabilization of the radius modulus for large warp factor. The stabilization sector we employ is very simple, consisting of two pure Yang--Mills sectors, one in the bulk and the other localized on a brane. The only fine-tuning required in our model is the cancellation of the cosmological constant, achieved by balancing the stabilization energy against supersymmetry breaking effects. Exponentially large warp factors arise naturally, with no very large or small input parameters. To perform the analysis, we derive the 4-dimensional effective theory for the supersymmetric Randall-Sundrum model, with a careful treatment of the radius modulus. The manifestly (off-shell) supersymmetric form of this effective lagrangian allows a straightforward and systematic treatment of the non-perturbative dynamics of the stabilization sector.