The holonomy of IIB supercovariant connection

Abstract

We show that the holonomy of the supercovariant connection of IIB supergravity is contained in $SL(32, \bR)$. We also find that the holonomy reduces to a subgroup of $SL(32-N)\st (\oplus^N \bR^{32-N})$ for IIB supergravity backgrounds with $N$ Killing spinors. We give the necessary and sufficient conditions for a IIB background to admit $N$ Killing spinors. A IIB supersymmetric probe configuration can involve up to 31 linearly independent planar branes and preserves one supersymmetry.

arXiv comment8 pages, latex. v2: Minor corrections

References in corpus (5)

• The Geometry of D=11 Killing Spinors
• Maximally supersymmetric solutions of ten- and eleven-dimensional supergravities
• Hidden Spacetime Symmetries and Generalized Holonomy in M-theory
• Holonomy and Symmetry in M-theory
• Pluecker-type relations for orthogonal planes

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