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 (23)

• The Geometry of D=11 Killing Spinors
• D=11, p=5
• Homogeneous fluxes, branes and a maximally supersymmetric solution of M-theory
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• The Geometry of D=11 Null Killing Spinors
• The spinorial geometry of supersymmetric backgrounds
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• Breaking the M-waves
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Cited by in corpus (34)

• Geometry of all supersymmetric type I backgrounds
• All timelike supersymmetric solutions of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
• Characterization of all the supersymmetric solutions of gauged N=1,d=5 supergravity
• The Killing superalgebra of ten-dimensional supergravity backgrounds
• All null supersymmetric backgrounds of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
• Supersymmetry of AdS and flat backgrounds in M-theory
• Geometry of four-dimensional Killing spinors
• Gauduchon-Tod structures, Sim holonomy and De Sitter supergravity
• HKT Geometry and de Sitter Supergravity
• Geometry of all supersymmetric four-dimensional $\mathcal{N}=1$ supergravity backgrounds
• Classification, geometry and applications of supersymmetric backgrounds
• M-theory preons cannot arise by quotients
• Supersymmetric solutions of gauged five-dimensional supergravity with general matter couplings
• IIB solutions with N>28 Killing spinors are maximally supersymmetric
• All the timelike supersymmetric solutions of all ungauged d=4 supergravities
• Heterotic supersymmetric backgrounds with compact holonomy revisited
• The supersymmetric solutions and extensions of ungauged matter-coupled N=1,d=4 supergravity
• Half-Supersymmetric Solutions in Five-Dimensional Supergravity
• M-theory backgrounds with 30 Killing spinors are maximally supersymmetric
• Sources for Chern-Simons theories
• Classification of IIB backgrounds with 28 supersymmetries
• Maximally Minimal Preons in Four Dimensions
• Supersymmetric geometries of IIA supergravity I
• Static M-horizons
• M-Horizons
• The homogeneity conjecture for supergravity backgrounds
• Generalized instantons in N = 4 super Yang-Mills theory and spinorial geometry
• Supersymmetric geometries of IIA supergravity III
• Invariant Killing spinors in 11D and type II supergravities
• BPS preons and the AdS-M-algebra
• Solution of heterotic Killing spinor equations and special geometry
• Classification of supersymmetric backgrounds of string theory
• N=4 Near-Horizon Geometries in D=11 Supergravity
• $D=11$ $d{S}_5$ backgrounds with enhanced supersymmetry