N=31 is not IIB

Abstract

We adapt the spinorial geometry method to investigate supergravity backgrounds with near maximal number of supersymmetries. We then apply the formalism to show that the IIB supergravity backgrounds with 31 supersymmetries preserve an additional supersymmetry and so they are maximally supersymmetric. This rules out the existence of IIB supergravity preons.

7 pages

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Cited by in corpus (42)

• 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
• Geometries with Killing Spinors and Supersymmetric AdS Solutions
• N=31, D=11
• All null supersymmetric backgrounds of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
• 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
• On the absence of BPS preonic solutions in IIA and IIB supergravities
• Supersymmetry of AdS and flat IIB 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
• Spinorial geometry and Killing spinor equations of 6-D supergravity
• All the timelike supersymmetric solutions of all ungauged d=4 supergravities
• Heterotic supersymmetric backgrounds with compact holonomy revisited
• Solutions of Minimal Four Dimensional de Sitter Supergravity
• Half-Supersymmetric Solutions in Five-Dimensional Supergravity
• The supersymmetric solutions and extensions of ungauged matter-coupled N=1,d=4 supergravity
• Index theory and dynamical symmetry enhancement near IIB horizons
• M-theory backgrounds with 30 Killing spinors are maximally supersymmetric
• Dynamical symmetry enhancement near IIA horizons
• Classification of IIB backgrounds with 28 supersymmetries
• IIB backgrounds with five-form flux
• Maximally Minimal Preons in Four Dimensions
• IIB black hole horizons with five-form flux and KT geometry
• Supersymmetric geometries of IIA supergravity I
• IIB black hole horizons with five-form flux and extended supersymmetry
• Invariant Killing spinors in 11D and type II supergravities
• Supersymmetric geometries of IIA supergravity III
• Supersymmetric geometries of IIA supergravity II
• BPS preons and the AdS-M-algebra
• Enhanced Horizons
• Enhanced Euclidean supersymmetry, 11D supergravity and $SU(\infty )$ Toda equation
• Solution of heterotic Killing spinor equations and special geometry
• Isometries of Half Supersymmetric Time-Like Solutions In Five Dimensions
• Classification of supersymmetric backgrounds of string theory
• The Classification of Highly Supersymmetric Supergravity Solutions