Derivative corrections to D-brane actions with constant background fields

We study derivative corrections to the effective action for a single D-brane in type II superstring theory coupled to constant supergravity background fields. In particular, within this setting we determine the complete expression for the (disk-level) four-derivative corrections to the Born-Infeld part of the action. We also determine 2n-form 2n-derivative corrections to the Wess-Zumino term. Both types of corrections involve all orders of the gauge field strength, F. The results are obtained via string a-model loop calculations using the boundary state operator language. The corrections can be succinctly written in terms of the Riemann tensor for a non-symmetric metric. (C) 2001 Published by Elsevier Science B.V.