Pure de Sitter Supergravity
Eric A. Bergshoeff, Daniel Z. Freedman, Renata Kallosh, Antoine Van, Proeyen

TL;DR
This paper constructs an explicit supergravity model with spontaneously broken supersymmetry that admits de Sitter space solutions, connecting superconformal methods with known goldstino theories.
Contribution
It provides a complete locally supersymmetric de Sitter supergravity action involving only the graviton and fermions, derived via superconformal techniques.
Findings
Reproduces Volkov-Akulov theory in the global limit
Achieves a de Sitter solution with all fermions vanishing
Constructs a pure supergravity with positive cosmological constant
Abstract
Using superconformal methods we derive an explicit de Sitter supergravity action invariant under spontaneously broken local supersymmetry. The supergravity multiplet interacts with a nilpotent goldstino multiplet. We present a complete locally supersymmetric action including the graviton and the fermionic fields, gravitino and goldstino, no scalars. In the global limit when supergravity multiplet decouples, our action reproduces the Volkov-Akulov theory. In the unitary gauge where goldstino vanishes we recover pure supergravity with the positive cosmological constant. The classical equations of motion, with all fermions vanishing, have a maximally symmetric solution: de Sitter space.
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Taxonomy
TopicsCosmology and Gravitation Theories · Black Holes and Theoretical Physics · Particle physics theoretical and experimental studies
