# Off-shell Poincare Supergravity

## TL;DR

This paper derives the off-shell Poincare supergravity action coupled to chiral multiplets, providing a geometric and gauge-fixed formulation that facilitates studying models with constrained superfields and de Sitter supergravity.

## Contribution

It presents the explicit off-shell action and transformation rules for Poincare supergravity coupled to chiral multiplets, derived from superconformal theory with a focus on target-space covariance.

## Key findings

- Derived off-shell Poincare supergravity action with auxiliary fields.
- Provided transformation rules maintaining explicit target-space covariance.
- Facilitated future studies of constrained superfields and de Sitter supergravity.

## Abstract

We present the action and transformation rules of Poincare supergravity coupled to chiral multiplets $(z^\alpha, \chi^\alpha, h^\alpha)$ with off-shell auxiliary fields. Starting from the geometric formulation of the superconformal theory with auxiliary fields, we derive the Poincare counterpart by gauge-fixing the Weyl and chiral symmetry and S-supersymmetry. We show how this transition is facilitated by retaining explicit target-space covariance. Our results form a convenient starting point to study models with constrained superfields, including general matter-coupled de Sitter supergravity.