Supersymmetric dS4 solutions in D=11 supergravity
M. Di Gioia, J. Gutowski
TL;DR
This paper classifies supersymmetric de Sitter solutions in eleven-dimensional supergravity, showing that solutions exist only with an SU(3) stabilizer, and details the geometric and flux conditions for these solutions.
Contribution
It provides a complete classification of supersymmetric dS4 solutions in D=11 supergravity based on stabilizer groups, identifying the absence of solutions with G_2 stabilizer.
Findings
No solutions with G_2 stabilizer group.
Conditions for flux and geometry are fully determined for SU(3) stabilizer.
Supersymmetry constraints are expressed via SU(3) invariant spinor bilinears.
Abstract
Supersymmetric warped product dS4 solutions in D=11 supergravity are classified. The Killing spinor is associated with two possible stabilizer groups, SU(3) and G_2. We show that there are no solutions to the Killing Spinor equations in the G_2 stabilizer case. For the SU(3) stablilzer case, all of the conditions imposed from supersymmetry on the 4-form flux, and the geometry of the internal manifold, are determined in terms of SU(3) invariant spinor bilinears.
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