The general de Sitter supergravity component action

TL;DR

This paper reviews the role of nilpotent chiral multiplets in supergravity, deriving a general action for pure de Sitter supergravity coupled with matter fields, highlighting its non-linear supersymmetry realization.

Contribution

It provides the most general supergravity action involving a nilpotent chiral multiplet coupled to multiple matter multiplets, extending previous models.

Findings

Derived the general supergravity action with a nilpotent chiral multiplet.

Extended previous models to include arbitrary matter couplings.

Confirmed the non-linear realization of supersymmetry in dS supergravity.

Abstract

In this paper we review the appearance and utility of a nilpotent chiral multiplet in the context of supergravity, string theory and cosmology. Coupling a nilpotent chiral superfield to supergravity, one obtains what is called pure dS supergravity, a supergravity theory without scalar degrees of freedom that naturally has de Sitter (dS) solutions, and in which supersymmetry is non-linearly realized. We extend previous results that couple this dS supergravity to chiral and vector multiplets and derive the most general supergravity action for a single nilpotent chiral multiplet coupled to supergravity and an arbitrary number of chiral and vector multiplets.