Supersymmetrizing Branes with Bulk in Five-Dimensional Supergravity

TL;DR

This paper develops a supersymmetric extension of brane-world models within five-dimensional supergravity, analyzing vacuum solutions, gauge sectors, and supersymmetry breaking effects with implications for physical scale hierarchies.

Contribution

It introduces a method to supersymmetrize brane potentials with bulk terms in 5d supergravity, including analysis of vacuum solutions and supersymmetry breaking.

Findings

Includes Randall-Sundrum and M-theoretical solutions

Examines supersymmetry breaking with gauge sectors

Shows decoupling of brane effects at large warp factors

Abstract

We supersymmetrize a class of moduli dependent potentials living on branes with the help of additional bulk terms in 5d N=2 supergravity. The space of Poincare invariant vacuum solutions includes the Randall-Sundrum solution and the $M$-theoretical solution. After adding gauge sectors to the branes we discuss breakdown of low energy supersymmetry in this setup and hierarchy of physical scales. In the limit of large warp factors we find decoupling between effects stemming from different branes in the compactified theory.