Noncommutative Geometry of Multicore Bions
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.
Keywords
Cite
@article{arxiv.1210.6655,
title = {Noncommutative Geometry of Multicore Bions},
author = {Joanna L. Karczmarek and Ariel Sibilia},
journal= {arXiv preprint arXiv:1210.6655},
year = {2015}
}
Comments
15 pages, 6 figures; note added in v2: this article builds on unpublished notes in arXiv:hep-th/0410233