On effective actions of BPS branes and their higher derivative corrections

TL;DR

This paper computes all-order higher derivative corrections to BPS brane actions by matching string theory S-matrix elements with effective field theory, confirming the consistency of these corrections for specific brane configurations.

Contribution

It derives the complete set of gauge field couplings to all orders in ' for BPS branes and demonstrates their agreement with string amplitudes, including higher derivative corrections.

Findings

Massless poles match between field theory and string amplitudes for p=n.

Infinite couplings reproduce all massless poles and contact terms for p=n+2.

Higher derivative corrections are consistent with string theory predictions.

Abstract

We calculate in detail the disk level S-matrix element of one Ramond-Ramond field and three gauge field vertex operators in the world volume of BPS branes, to find four gauge field couplings to all orders of $\alpha'$ up to on-shell ambiguity. Then using these infinite couplings we find that the massless pole of the field theory amplitude is exactly equal to the massless pole S-matrix element of this amplitude for the $p=n$ case to all orders of $\alpha'$. Finally we show that the infinite massless poles and the contact terms of this amplitude for the $p=n+2$ case can be reproduced by the Born-Infeld action and the Wess-Zumino actions and by their higher derivative corrections.