Minimal scalar-less matter-coupled supergravity

TL;DR

This paper constructs a minimal supergravity model coupling a nilpotent goldstino superfield with matter, achieving spontaneous supersymmetry breaking without elementary scalars, and controlling key physical parameters.

Contribution

It introduces a novel non-linear supergravity model with mixed nilpotency constraints, expanding the framework for scalar-less supersymmetry breaking models.

Findings

Spontaneous breaking of local supersymmetry achieved without elementary scalars.

Model allows control over cosmological constant and fermion interactions.

Spectrum includes a massive Majorana fermion with specific interaction properties.

Abstract

We build the minimal supergravity model where the nilpotent chiral goldstino superfield is coupled to a chiral matter superfield, realising a different non-linear representation through a mixed nilpotency constraint. The model describes the spontaneous breaking of local supersymmetry in the presence of a generically massive Majorana fermion, but in the absence of elementary scalars. The sign and the size of the cosmological constant, the spectrum and the four-fermion interactions are controlled by suitable parameters.