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

References in corpus (2)

• Holonomy and Symmetry in M-theory
• Maximally supersymmetric G-backgrounds of IIB supergravity

Cited by in corpus (17)

• Geometry of all supersymmetric type I backgrounds
• Characterization of all the supersymmetric solutions of gauged N=1,d=5 supergravity
• 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
• 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
• On the absence of BPS preonic solutions in IIA and IIB supergravities
• Supersymmetric solutions of gauged five-dimensional supergravity with general matter couplings
• IIB solutions with N>28 Killing spinors are maximally supersymmetric
• IIB backgrounds with five-form flux
• Maximally Minimal Preons in Four Dimensions
• Invariant Killing spinors in 11D and type II supergravities
• Solution of heterotic Killing spinor equations and special geometry
• The Classification of Highly Supersymmetric Supergravity Solutions