Hierarchy Stabilization in Warped Supersymmetry

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.