Noncommutative geometry of multicore bions
- 53 Downloads
We find new BPS solutions to the nonabelian theory on a world-volume of parallel D1-branes. Our solutions describe two parallel, separated bundles of N D1-branes expanding out to form a single orthogonal D3-brane. This configuration corresponds to two charge N magnetic monopoles in the world-volume of a single D3-brane, deforming the D3-brane into two parallel spikes. We obtain the emergent surface corresponding to our nonabelian D1-brane configuration and demonstrate, at finite N , a surprisingly accurate agreement with the shape of the D3-brane world-volume as obtained from the abelian Born-Infeld action. Our solution provides an explicit realization of topology change in noncommutative geometry at finite N.
KeywordsSolitons Monopoles and Instantons D-branes Non-Commutative Geometry
- C. Funnel, D1-brane description of separated magnetic monopoles on a D3-brane, undergraduate thesis, University of British Columbia, Vancouver Canada (2007).Google Scholar