Constrained superfields in Supergravity

TL;DR

This paper explores constrained superfields within supergravity, establishing their consistency, solving existing constraints, and introducing new classes with potential applications in inflationary cosmology, along with explicit Lagrangian formulations.

Contribution

It introduces a new class of constrained superfields in supergravity and provides their superspace and component formulations for model building.

Findings

Successfully solves all known constraints on superfields in supergravity.

Provides explicit superspace Lagrangians for minimal models.

Simplifies goldstino couplings using a specific gauge.

Abstract

We analyze constrained superfields in supergravity. We investigate the consistency and solve all known constraints, presenting a new class that may have interesting applications in the construction of inflationary models. We provide the superspace Lagrangians for minimal supergravity models based on them and write the corresponding theories in component form using a simplifying gauge for the goldstino couplings.