Calibrations, Monopoles and Fuzzy Funnels

Details Calibrations, Monopoles and Fuzzy Funnels Calibrations, Monopoles and Fuzzy Funnels

2002-06-27

arxiv.org/abs/hep-th/0206243v2

Phys.Rev. D66 (2002) 065016

Physics

High Energy Physics

High Energy Physics - Theory

19 pages. Latex. v2: added references and acknowledgment

Scientific paper

10.1103/PhysRevD.66.065016

We present new non-Abelian solitonic configurations in the low energy effective theory describing a collection of N parallel D1--branes. These configurations preserve 1/4, 1/8, 1/16 and 1/32 of the spacetime supersymmetry. They are solutions to a set of generalised Nahm's equations which are related to self-duality equations in eight dimensions. Our solutions represent D1--branes which expand into fuzzy funnel configurations ending on collections of intersecting D3--branes. Supersymmetry dictates that such intersecting D3--branes must lie on a calibrated three-surface of spacetime and we argue that the generalised Nahm's equations encode the data for the construction of magnetic monopoles on the relevant three-surfaces.

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