One-loop corrections to the D3 brane action

Abstract

We calculate one-loop corrections to the effective Lagrangian for the D3 brane. We perform the gauge-fixing of the kappa-symmetric Born-Infeld D3 brane action in the flat background using Killing gauge. The linearized supersymmetry of the gauge-fixed 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 alpha^4. The counterterms and the finite 1-loop corrections are of the form (dF)^4 and their supersymmetric generalization. This is to be contrasted with the Born-Infeld action which contains (F)^4 and other terms which do not depend on derivatives of the vector field strength.

21 pages, LaTex with Axodraw figures. In the revised version new references have been added

References in corpus (4)

• Multi-Parton Amplitudes in Gauge Theories
• On the Relationship between Yang-Mills Theory and Gravity and its Implication for Ultraviolet Divergences
• The GS String Action on AdS_5 x S^5
• Supersymmetric D3 brane action in AdS_5 x S^5

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• Quantum Corrections to Generic Branes: DBI, NLSM, and More
• Nonlinear (Super)Symmetries and Amplitudes
• $({\alpha }^{\prime }{)}^4$ corrections to the N=2 supersymmetric Born-Infeld action
• S-dual Amplitude and D3-Brane Couplings
• D3-Brane Loop Amplitudes from M5-Brane Tree Amplitudes
• Aspects of inflation and the very early universe
• One-loop matrix elements of effective superstring interactions: ${\alpha }^{\prime }$-expanding loop integrands
• Heat kernel approach to the one-loop effective action for nonlinear electrodynamics