Seiberg-Witten Transforms of Noncommutative Solitons

Details Seiberg-Witten Transforms of Noncommutative Solitons Seiberg-Witten Transforms of Noncommutative Solitons

2001-05-30

arxiv.org/abs/hep-th/0105311v3

Phys.Rev.D64:106005,2001

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, LaTeX; comments added, typos corrected, and a reference added; comments added, typos corrected

Scientific paper

10.1103/PhysRevD.64.106005

We evaluate the Seiberg-Witten map for solitons and instantons in noncommutative gauge theories in various dimensions. We show that solitons constructed using the projection operators have delta-function supports when expressed in the commutative variables. This gives a precise identification of the moduli of these solutions as locations of branes. On the other hand, an instanton solution in four dimensions allows deformation away from the projection operator construction. We evaluate the Seiberg-Witten transform of the U(2) instanton and show that it has a finite size determined by the noncommutative scale and by the deformation parameter \rho. For large \rho, the profile of the D0-brane density of the instanton agrees surprisingly well with that of the BPST instanton on commutative space.

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