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arxiv: hep-th/0307127 · v2 · submitted 2003-07-14 · ✦ hep-th

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The holonomy of IIB supercovariant connection

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classification ✦ hep-th
keywords holonomyconnectionkillingspinorssupercovariantsupergravityadmitbackground
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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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