Abstract
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.
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ArXiv ePrint: 1210.6655
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Karczmarek, J.L., Sibilia, A. Noncommutative geometry of multicore bions. J. High Energ. Phys. 2013, 20 (2013). https://doi.org/10.1007/JHEP01(2013)020
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DOI: https://doi.org/10.1007/JHEP01(2013)020