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arXiv · 1507.08264

Pure de Sitter Supergravity

Eric A. Bergshoeff·Daniel Z. Freedman·Renata Kallosh·Antoine Van Proeyen
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Abstract

Using superconformal methods we derive an explicit de Sitter supergravity action invariant under spontaneously broken local ${\cal N}=1$ 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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Eric A. Bergshoeff, Daniel Z. Freedman, Renata Kallosh, Antoine Van Proeyen. 2016-10-10. Pure de Sitter Supergravity. https://doi.org/10.1103/physrevd.92.085040

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