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arXiv · hep-th/0307127

The holonomy of IIB supercovariant connection

G. Papadopoulos·D. Tsimpis
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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.

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G. Papadopoulos, D. Tsimpis. 2003-07-25. The holonomy of IIB supercovariant connection. https://doi.org/10.1088/0264-9381%2F20%2F20%2F103

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