Equivalence between Kaluza Klein modes of gravitinos and goldstinos in brane induced supersymmetry breaking

TL;DR

This paper demonstrates the equivalence between Kaluza Klein gravitino modes and goldstinos in brane-induced supersymmetry breaking, providing a theoretical foundation for simplifying calculations in such models.

Contribution

It identifies goldstino fields responsible for mass generation of KK gravitinos and proves the four-dimensional Equivalence Theorem in this context.

Findings

Goldstino fields are responsible for KK gravitino mass.

The four-dimensional Equivalence Theorem is proven for this setup.

A specific five-dimensional gauge fixing is identified.

Abstract

We identify the goldstino fields that give mass to the Kaluza Klein modes of five dimensional supergravity, when supersymmetry breaking is induced by brane effects. We then proof the four dimensional Equivalence Theorem that, in renormalizable gauges, allows for the replacement of Kaluza Klein modes of helicity $\pm1/2$ gravitinos in terms of goldstinos. Finally we identify the five dimensional renormalizable gauge fixing that leads to the Equivalence Theorem.