The Noncommutative bion core
Nov, 1999
23 pages
Published in:
- Phys.Rev.D 61 (2000) 106009
e-Print:
- hep-th/9911136 [hep-th]
Report number:
- MCGILL-99-34,
- NSF-ITP-99-138
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Abstract:
We examine noncommutative solutions of the nonabelian theory on the world-volume of N coincident D-strings. These solutions can be interpreted in terms of noncommutative geometry as funnels describing the nonabelian D-string expanding out into an orthogonal D3-brane. These configurations are `dual' to the bion solutions in the abelian world-volume theory of the D3-brane. In the latter, a charge N magnetic monopole describes N D-strings attached to the D3-brane with a spike deformation of the world-volume. The noncommutative D-string solutions give a reliable account of physics at the core of the monopole, where the bion description is expected to breakdown. In the large N limit, we find good agreement between the two points of view, including the energy, couplings to background fields, and the shape of the funnel. We also study fluctuations traveling along the D-string, again obtaining agreement in the large N limit. At finite N, our results give a limit on the number of modes that can travel to infinity along the N D-strings attached to the D3-brane.- string model
- membrane model: D-brane
- membrane model: p-brane
- p-brane: 3
- field theory: action
- field equations: solution
- magnetic monopole
- fluctuation
- geometry: noncommutative
- expansion 1/N
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