Non-commutative vs. Commutative Descriptions of D-brane BIons

Abstract

The U(1) gauge theory on a D3-brane with non-commutative worldvolume is shown to admit BIon-like solutions which saturate a BPS bound on the energy. The mapping of these solutions to ordinary fields is found exactly, namely non-perturbatively in the non-commutativity parameters. The result is precisely an ordinary supersymmetric BIon in the presence of a background B-field. We argue that the result provides evidence in favour of the exact equivalence of the non-commutative and the ordinary descriptions of D-branes.

1+15 pages, 6 figures; v2: two references added, typos corrected, one unnecessary figure removed

References in corpus (5)

• String Theory and Noncommutative Geometry
• Comments on Gauge Equivalence in Noncommutative Geometry
• Monopoles and Dyons in Non-Commutative Geometry
• Brane Configuration from Monopole Solution in Non-Commutative Super Yang-Mills Theory
• Born-Infeld Dynamics in Uniform Electric Field

Cited by in corpus (9)

• Seiberg-Witten Transforms of Noncommutative Solitons
• Adding flavor to the gravity dual of non-commutative gauge theories
• Noncommutative Monopole at the Second Order in θ
• Dyonic BIon black hole in string inspired model
• BPS Solitons in M5-Brane Worldvolume Theory with Constant Three-Form Field
• Topological Number of Edge States
• String solitons in the M5-brane worldvolume with a Nambu-Poisson structure and Seiberg-Witten map
• Hamiltonian formulation of Noncommutative D3--Brane
• Duality Rotations and BPS Monopoles with Space and Time Noncommutativity