2002/06/30 by Neil R. Constable, Neil Lambert, Neil D. Lambert
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Brane cosmology #Cosmology and Gravitation Theories #Duality (order theory) #Funnel #Magnetic monopole #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Spacetime #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.66.065016
published as Phys.Rev. D66 (2002) 065016 · 19 pages. Latex. v2: added references and acknowledgment
arxiv created 2002/07/09 · openalex publication_date 2002/09/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.