Instantons in the U(1) Born-Infeld Theory and Noncommutative Gauge Theory
High Energy Physics - Theory
2009-10-31 v3
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9911245,
title = {Instantons in the U(1) Born-Infeld Theory and Noncommutative Gauge Theory},
author = {Seiji Terashima},
journal= {arXiv preprint arXiv:hep-th/9911245},
year = {2009}
}
Comments
11 pages, LaTeX, no figures, one reference added, Title slightly changed, version to appear in Physics Letters B