Derivative corrections to D-brane actions with constant background fields

TL;DR

This paper calculates the complete four-derivative corrections to the D-brane effective action in type II superstring theory with constant background fields, revealing all-order gauge field strength effects.

Contribution

It provides the first full expression for derivative corrections to the D-brane action involving all orders of the gauge field strength, using string sigma-model techniques.

Findings

Derived the complete four-derivative corrections to the Born-Infeld action.

Determined 2n-form 2n-derivative corrections to the Wess-Zumino term.

Expressed corrections in terms of the Riemann tensor for a non-symmetric metric.

Abstract

We study derivative corrections to the effective action for a single D-brane in type II superstring theory coupled to constant 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 sigma-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.