Goldstino superfields in supergravity

TL;DR

This paper reviews models of spontaneously broken supergravity with nilpotent superfields for ${ m N}=1$ and ${ m N}=2$, highlighting new results on nilpotent ${ m N}=1$ supergravity.

Contribution

It introduces and compares off-shell models for broken supergravity using nilpotent superfields, including new findings on ${ m N}=1$ supergravity.

Findings

Two off-shell models for broken ${ m N}=1$ and ${ m N}=2$ supergravity are reviewed.

The ${ m N}=1$ model employs a real scalar superfield with three nilpotency conditions.

New results on nilpotent ${ m N}=1$ supergravity are presented.

Abstract

We review two off-shell models for spontaneously broken ${\cal N}=1$ and ${\cal N}=2$ supergravity proposed in arXiv:1702.02423 and arXiv:1707.07390. The ${\cal N}=1$ model makes use of a real scalar superfield subject to three nilpotency conditions. The ${\cal N}=2$ theory is formulated in terms of a reduced chiral superfield obeying a cubic nilpotency condition. New results on nilpotent ${\cal N}=1$ supergravity are also included.