Instantons in the U(1) Born-Infeld Theory and Noncommutative Gauge Theory

Details Instantons in the U(1) Born-Infeld Theory and Noncommutative Gauge Theory Instantons in the U(1) Born-Infeld Theory and Noncommutative Gauge Theory

1999-11-30

arxiv.org/abs/hep-th/9911245v3

Phys.Lett. B477 (2000) 292-298

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX, no figures, one reference added, Title slightly changed, version to appear in Physics Letters B

Scientific paper

10.1016/S0370-2693(00)00184-2

We derive a BPS-type bound for four-dimensional Born-Infeld action with constant B field background. The supersymmetric configuration saturates this bound and is regarded as an analog of instanton in U(1) gauge theory. Furthermore, we find the explicit solutions of this BPS condition. These solutions have a finite action proportional to the instanton number and represent D(p-4)-branes within a Dp-brane although they have a singularity at the origin. Some relations to the noncommutative U(1) instanton are discussed.

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