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Hyper-Kahler manifolds and multiply-intersecting branes

1997/02/28 by J. P. Gauntlett, G. W. Gibbons, G. Papadopoulos +1 · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1016/s0550-3213(97)00335-0

published as Nucl.Phys.B500:133-162,1997 · Minor corrections to text. Improved appendix. Version to appear in Nucl. Phys. B. Reference added

arxiv created 1997/06/06 · arxiv updated 2009/11/30

Abstract

Generalized membrane solutions of D=11 supergravity, for which the transverse space is a toric hyper-K" ahler manifold, are shown to have IIB duals representing the intersection of parallel 3-branes with 5-branes whose orientations are determined by their Sl(2;\bZ) charge vectors. These IIB solutions, which generically preserve 3/16 of the supersymmetry, can be further mapped to solutions of D=11 supergravity representing the intersection of parallel membranes with any number of fivebranes at arbitrary angles. Alternatively, a subclass (corresponding to non-singular D=11 solutions) can be mapped to solutions representing the intersection on a string of any number of D-5-branes at arbitrary angles, again preserving 3/16 supersymmetry, as we verify in a special case by a quaternionic extension of the analysis of Berkooz, Douglas and Leigh. We also use similar methods to find new 1/8 supersymmetric solutions of orthogonally intersecting branes.

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