Warped Brane Worlds in Six Dimensional Supergravity

TL;DR

This paper explores warped compactification solutions in six-dimensional supergravity, generalizing the Randall-Sundrum model to codimension two, with implications for hierarchy sensitivity and supersymmetry breaking.

Contribution

It introduces new warped brane world solutions in 6D supergravity with varying dilaton, analyzing their phenomenology and topological constraints, extending prior models to supersymmetric contexts.

Findings

Power-law sensitivity of electroweak hierarchy to extra dimensions

Warped solutions break all supersymmetries in the models

Identification of topological constraints for brane configurations

Abstract

We present warped compactification solutions of six-dimensional supergravity, which are generalizations of the Randall-Sundrum warped brane world to codimension two and to a supersymmetric context. In these solutions the dilaton varies over the extra dimensions, and this makes the electroweak hierarchy only power-law sensitive to the proper radius of the extra dimensions (as opposed to being exponentially sensitive as in the RS model). Warping changes the phenomenology of these models because the Kaluza-Klein gap can be much larger than the internal space's inverse proper radius. We provide examples both for Romans' nonchiral supergravity and Salam-Sezgin chiral supergravity, and in both cases the solutions break all of the supersymmetries of the models. We interpret the solution as describing the fields sourced by a 3-brane and a boundary 4-brane (Romans' supergravity) or by one or two 3-branes (Salam-Sezgin supergravity), and we identify the topological constraints which are required by this interpretation. For both types of solutions the 3-branes are flat for all topologically-allowed values of the brane tensions. We identify the general mechanism for and limitations of the self-tuning of the effective 4D cosmological constant in higher-dimensional supergravity which these models illustrate.