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

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

2000-02-02

arxiv.org/abs/hep-th/0002020v2

Nucl.Phys. B577 (2000) 139-155

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0550-3213(00)00160-7

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.

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