Gravity-Mediated Supersymmetry Breaking in the Brane World

TL;DR

This paper investigates how supersymmetry breaking is transmitted through gravity in a five-dimensional brane-world setup, calculating the resulting boundary field masses and connecting to the Scherk-Schwarz mechanism.

Contribution

It provides a detailed calculation of boundary gaugino and scalar masses induced by gravitational supersymmetry breaking in a 5D brane-world, including the connection to the Scherk-Schwarz limit.

Findings

Boundary gaugino and scalar masses are computed for arbitrary brane superpotentials.

The mass spectrum approaches the Scherk-Schwarz limit at large superpotentials.

The study clarifies the role of bulk gravitino mass shifts in supersymmetry breaking.

Abstract

We study the transmission of supersymmetry breaking via gravitational interactions in a five-dimensional brane-world compactified on $S^1/Z_2$. We assume that chiral matter and gauge fields are confined at the orbifold fixed points, where supersymmetry is spontaneously broken by effective brane superpotentials. Using an off-shell supergravity multiplet we integrate out the auxiliary fields and examine the couplings between the bulk supergravity fields and boundary matter fields. The corresponding tree-level shift in the bulk gravitino mass spectrum induces one-loop radiative masses for the boundary fields. We calculate the boundary gaugino and scalar masses for arbitrary values of the brane superpotentials, and show that the mass spectrum reduces to the Scherk-Schwarz limit for arbitrarily large values of the brane superpotentials.