On supersymmetric Anti-de-Sitter, de-Sitter and Minkowski flux backgrounds

Abstract

We test the robustness of the conditions required for the existence of (supersymmetric) warped flux anti-de Sitter, de Sitter, and Minkowski backgrounds in supergravity theories using as examples suitable foliations of anti-de Sitter spaces. We find that there are supersymmetric de Sitter solutions in supergravity theories including maximally supersymmetric ones in 10- and 11-dimensional supergravities. Moreover, warped flux Minkowski backgrounds can admit Killing spinors which are not Killing on the Minkowski subspace and therefore cannot be put in a factorized form.

arXiv comment12 pages, latex

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Cited by in corpus (3)

• On supersymmetric AdS6 solutions in 10 and 11 dimensions
• Supersymmetric AdS backgrounds and weak generalised holonomy
• All superalgebras for warped AdS${}_2$ and black hole near horizon geometries