Off-shell Poincare 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.

30 pages; v2: version to be published in JHEP

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• de Sitter Vacua with a Nilpotent Superfield
• Liberated N=1 Supergravity
• The Gravitino Swampland Conjecture
• Off-shell $N=2\to N=1$ reduction in 4D conformal supergravity
• Constrained Superfields in Dynamical Background
• Simple Sinflaton-less $\alpha$-attractors
• Supertrace formulae for nonlinearly realized supersymmetry