The complete action for $\mathcal{N}=2$ de Sitter pure supergravity

Fuente: arXiv
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Hauptverfasser: Boulanger, Nicolas, Letsios, Vasileios A., Thomée, Sylvain
Format: Preprint
Veröffentlicht: 2026
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author Boulanger, Nicolas
Letsios, Vasileios A.
Thomée, Sylvain
author_facet Boulanger, Nicolas
Letsios, Vasileios A.
Thomée, Sylvain
contents Supergravity theories in de Sitter spacetime are known to be very constrained, and rather unnatural within String/M Theory. We revisit the seminal paper by Pilch, van Nieuwenhuizen and Sohnius, where the possible existence of a real Lagrangian for ${\cal N}=2$ pure supergravity in four-dimensional de Sitter spacetime was pointed out. We clarify several issues related to the non-unitarity of the theory and explicitly construct the unique, complete theory searched for long ago by the aforementioned authors. We argue that the lack of unitarity of the Lorentzian theory may be revisited in the Euclidean approach to de Sitter quantum gravity, where alternative definitions of unitarity can be introduced.
format Preprint
id arxiv_https___arxiv_org_abs_2601_16891
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The complete action for $\mathcal{N}=2$ de Sitter pure supergravity
Boulanger, Nicolas
Letsios, Vasileios A.
Thomée, Sylvain
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Supergravity theories in de Sitter spacetime are known to be very constrained, and rather unnatural within String/M Theory. We revisit the seminal paper by Pilch, van Nieuwenhuizen and Sohnius, where the possible existence of a real Lagrangian for ${\cal N}=2$ pure supergravity in four-dimensional de Sitter spacetime was pointed out. We clarify several issues related to the non-unitarity of the theory and explicitly construct the unique, complete theory searched for long ago by the aforementioned authors. We argue that the lack of unitarity of the Lorentzian theory may be revisited in the Euclidean approach to de Sitter quantum gravity, where alternative definitions of unitarity can be introduced.
title The complete action for $\mathcal{N}=2$ de Sitter pure supergravity
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2601.16891