Construction of the de Sitter supergravity

Abstract

Recently, the complete action for an N=1 pure supergravity action in 4 dimensions that allows a positive, negative or zero cosmological constant has been constructed. The action is the generalization of a Volkov-Akulov action for the Goldstino coupled to supergravity. The construction uses a nilpotent multiplet. This paper is written in honour of Philippe Spindel. AVP enjoyed collaborations and many interactions with Philippe, who has always appreciated very precise derivations. We use this occasion to give a very detailed account of the calculations that lead to the published results. We review aspects of supersymmetry with de Sitter backgrounds, the treatment of auxiliary fields, and other ingredients in the construction.

contribution to the proceedings of the workshop "About various kinds of interactions" in honor of Philippe Spindel; v2: changed references, and correction of torsion lagrangian (5.15)

References in corpus (6)

• From Linear SUSY to Constrained Superfields
• Cosmology with Nilpotent Superfields
• The Minimal Volkov - Akulov - Starobinsky Supergravity
• Relating the Komargodski-Seiberg and Akulov-Volkov actions: Exact nonlinear field redefinition
• Constrained superfields in Supergravity
• de Sitter Supersymmetry Revisited

Cited by in corpus (8)

• The Supersymmetric Effective Field Theory of Inflation
• Anti-D3 branes and moduli in non-linear supergravity
• Cosmology and Supergravity
• Two-form supergravity, superstring couplings, and Goldstino superfields in three dimensions
• The Supercurrent and Einstein equations in the Superconformal formulation
• (Super)Universal Attractors and the de Sitter Vacua in String Landscape
• Non-linear realisations in global and local supersymmetry
• Highlights in Supergravity: CCJ 47 Years Later