Uplifting non-compact gauged supergravities
Walter H. Baron, Gianguido Dall'Agata

TL;DR
This paper presents the M-theory uplift of de Sitter vacua in certain maximal supergravity gaugings, revealing new non-compact backgrounds with fluxes, achieved through a novel non-linear uplift ansatz.
Contribution
It introduces a new non-linear uplift ansatz for 11D supergravity that extends known solutions to non-compact gaugings with de Sitter vacua.
Findings
New non-compact hyperboloid backgrounds with fluxes
A generalized uplift ansatz for non-compact gaugings
Extension of known SO(8) solutions to SO(5,3) and SO(4,4) cases
Abstract
We provide the M-theory uplift of de Sitter vacua of SO(5,3) and SO(4,4) gaugings of maximal supergravity in 4 dimensions. We find new non-compact backgrounds that are squashed hyperboloids with non-trivial flux for the 3-form potential. The uplift requires a new non-linear ansatz for the 11-dimensional metric and for the 3-form potential that reduces to the known one leading to the 7-sphere solution in the case of the SO(8) gauging.
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