Abstract
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 generalized Nahm 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 generalized Nahm equations encode the data for the construction of magnetic monopoles on the relevant three-surfaces.
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