The action for supersymmetric D3-branes in at and curved type IIB supergravity

We calculate one-loop corrections to the e ective Lagrangian for the D3 brane. We perform the gaugexing of the -symmetric Born-Infeld D3 brane action in the at background using Killing gauge. The linearized supersymmetry of the gaugexed 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 at order . The counterterms and the nite 1-loop corrections are of the form (@F ) and their supersymmetric generalization. This is to be contrasted with the Born-Infeld action which contains (F ) and other terms which do not depend on derivatives of the vector eld strength. This research was partly supported by the Department of Energy under contract DE-AC03-76SF00515. Submitted for publication in Phys. Rev. D. e-mail: [email protected].