Uplifting non-compact gauged supergravities

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.

28 pages. v2: font fixed and clarified some points. JHEP version

References in corpus (22)

• On Lagrangians and Gaugings of Maximal Supergravities
• Exceptional Form of D=11 Supergravity
• The O(dd) Story of Massive Supergravity
• Maximal gauged supergravity in three dimensions
• Evidence for a family of SO(8) gauged supergravity theories
• Duality orbits of non-geometric fluxes
• Extended geometry and gauged maximal supergravity
• On the vacua of N = 8 gauged supergravity in 4 dimensions
• Symplectic Deformations of Gauged Maximal Supergravity
• Deformations of gauged SO(8) supergravity and supergravity in eleven dimensions
• Consistent truncation of d = 11 supergravity on AdS_4 x S^7
• All G_2 invariant critical points of maximal supergravity
• The N>2 supersymmetric AdS vacua in maximal supergravity
• The gauge structure of Exceptional Field Theories and the tensor hierarchy
• The SU(3)-invariant sector of new maximal supergravity
• Triality, Periodicity and Stability of SO(8) Gauged Supergravity
• Generalised geometry from the ground up
• de Sitter vacua in N = 8 supergravity and slow-roll conditions
• On the moduli space of spontaneously broken N = 8 supergravity
• An SO(3)$\times$SO(3) invariant solution of $D=11$ supergravity
• Ghost-Free de Sitter Supergravities as Consistent Reductions of String and M-theory
• Classification and stability of vacua in maximal gauged supergravity

Cited by in corpus (18)

• Consistent Type IIB Reductions to Maximal 5D Supergravity
• Geometry and fluxes of SL(5) exceptional field theory
• The Odd story of ${\alpha }^{\prime }$-corrections
• Fermions and Supersymmetry in ${\mathrm{E}}_{6(6)}$ Exceptional Field Theory
• Systematics of consistent truncations from generalised geometry
• The Geometry, Branes and Applications of Exceptional Field Theory
• Generalised Scherk-Schwarz reductions from gauged supergravity
• Consistent $\mathcal{N}=8$ truncation of massive IIA on $S^6$
• Electric-magnetic deformations of D=4 gauged supergravities
• A master exceptional field theory
• An $\mathcal{N}=3$ Solution in Dyonic ISO(7) Gauged Maximal Supergravity and Its Uplift to Massive Type IIA
• $\mathcal{N}=2$ consistent truncations from wrapped M5-branes
• Generalized Parallelizable Spaces from Exceptional Field Theory
• $L_{\infty }$ algebras and Tensor Hierarchies in Exceptional Field Theory and Gauged Supergravity
• All maximal gauged supergravities with uplift
• Non-linear uplift Ansätze for the internal metric and the four-form field-strength of maximal supergravity
• Geometric non-geometry
• Inflation in maximal gauged supergravities