The coupling of Non-linear Supersymmetry to Supergravity

TL;DR

This paper explores how non-linear supersymmetry can be integrated with supergravity using a geometric approach involving constrained superfields, revealing connections to f(R) supergravity theories.

Contribution

It introduces a geometric formulation of non-linear supersymmetry coupled to supergravity via a constrained chiral superfield, linking it to decoupling limits in f(R) supergravity.

Findings

Describes a geometric action for the goldstino superfield in supergravity.

Shows the constraint (R-3)^2=0 arises as a decoupling limit.

Connects non-linear supersymmetry to f(R) supergravity models.

Abstract

We study the coupling of non-linear supersymmetry to supergravity. The goldstino nilpotent superfield of global supersymmetry coupled to supergravity is described by a geometric action of the chiral curvature superfield R subject to the constraint (R-\lambda)^2=0 with an appropriate constant \lambda. This constraint can be found as the decoupling limit of the scalar partner of the goldstino in a class of f(R) supergravity theories.