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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Baron, W.H., Dall’Agata, G. Uplifting non-compact gauged supergravities. J. High Energ. Phys. 2015, 3 (2015). https://doi.org/10.1007/JHEP02(2015)003
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DOI: https://doi.org/10.1007/JHEP02(2015)003