Higher derivative corrections to DBI action at $ \alpha'^2$ order

TL;DR

This paper determines all relevant D-brane world volume couplings at order α'^2 in type II superstring theories by ensuring compatibility with T-duality and S-duality symmetries, focusing on interactions involving one closed and three open strings.

Contribution

It introduces a comprehensive method to derive higher derivative corrections to the DBI action at α'^2 order using duality symmetries, filling a gap in string theory effective actions.

Findings

Derived all world volume couplings at α'^2 order involving one closed and three open strings.

Ensured compatibility of the couplings with linear T-duality and S-duality.

Provided explicit forms of the higher derivative corrections in flat spacetime.

Abstract

We use the compatibility of D-brane action with linear off-shell T-duality and linear on-shell S-duality as guiding principles to find all world volume couplings of one massless closed and three massless open strings at order $\alpha'^2$ in type II superstring theories in flat space-time.