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

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.

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

References in corpus (2)

• String Theory and Noncommutative Geometry
• Monopoles and Dyons in Non-Commutative Geometry

Cited by in corpus (18)

• D3/D7 Inflationary Model and M-theory
• Emergent Gravity from Noncommutative Spacetime
• *-Trek II: *_n Operations, Open Wilson Lines and the Seiberg-Witten Map
• Noncommutative 't Hooft Instantons
• Space-Time Foam From Non-Commutative Instantons
• Tachyon Condensation on Noncommutative Torus
• The CP(n) Model on Noncommutative Plane
• Non-Commutative Instantons and the Seiberg-Witten Map
• ADHM/Nahm Construction of Localized Solitons in Noncommutative Gauge Theories
• Noncommutative instantons revisited
• Metamorphosis Of Tachyon Profile In Unstable D9-Branes
• ALE spaces from noncommutative U(1) instantons via exact Seiberg-Witten map
• Non-perturbative transitions among intersecting-brane vacua
• Supersymmetric Dirac-Born-Infeld theory in noncommutative space
• General classical solutions in the noncommutative CP^(N-1) model
• Non-Linear/Non-Commutative Non-Abelian Monopoles
• Noncommutative instantons on $d=2n$ planes from matrix models
• Topological DBI actions and nonlinear instantons