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 ...

In this work a new asymptotically flat solution of the coupled EinsteinBorn-Infeld equations for a static spherically symmetric space-time is obtained. When the intrinsic mass is zero the resulting spacetime is regular everywhere, in the sense given by B. Hoffmann and L. Infeld in 1937, and the Einstein-Born-Infeld theory leads to the identification of the gravitational with the electromagnetic...

We calculate one-loop corrections to the effective Lagrangian for the D3 brane. We perform the gauge-fixing of the κ-symmetric Born-Infeld D3 brane action in the flat background using Killing gauge. The linearized supersymmetry of the gaugefixed action coincides with that of the N = 4 Yang-Mills theory. We use the helicity amplitude and unitarity technique to calculate the one-loop amplitudes a...