N=31, D=11

Abstract

We show that eleven-dimensional supergravity backgrounds with thirty one supersymmetries, N=31, admit an additional Killing spinor and so they are locally isometric to maximally supersymmetric ones. This rules out the existence of simply connected eleven-dimensional supergravity preons. We also show that N=15 solutions of type I supergravities are locally isometric to Minkowski spacetime.

17 pages

References in corpus (5)

• Holonomy and Symmetry in M-theory
• N=31 is not IIB
• On the absence of BPS preonic solutions in IIA and IIB supergravities
• Vanishing Preons in the Fifth Dimension
• Maximally Minimal Preons in Four Dimensions

Cited by in corpus (14)

• Geometry of all supersymmetric type I backgrounds
• Characterization of all the supersymmetric solutions of gauged N=1,d=5 supergravity
• All null supersymmetric backgrounds of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
• Geometry of four-dimensional Killing spinors
• HKT Geometry and de Sitter Supergravity
• Gauduchon-Tod structures, Sim holonomy and De Sitter supergravity
• Geometry of all supersymmetric four-dimensional $\mathcal{N}=1$ supergravity backgrounds
• Supersymmetric solutions of gauged five-dimensional supergravity with general matter couplings
• IIB solutions with N>28 Killing spinors are maximally supersymmetric
• Maximally Minimal Preons in Four Dimensions
• The homogeneity conjecture for supergravity backgrounds
• Generalized instantons in N = 4 super Yang-Mills theory and spinorial geometry
• Invariant Killing spinors in 11D and type II supergravities
• Solution of heterotic Killing spinor equations and special geometry