Covariant Description of D-branes in IIA Plane-Wave Background

TL;DR

This paper derives covariant boundary conditions for open strings in type IIA plane wave backgrounds, identifying supersymmetric D-branes and analyzing their properties using kappa symmetry.

Contribution

It provides a covariant formulation of boundary conditions for D-branes in IIA plane wave backgrounds, including the classification of BPS states and supersymmetry analysis.

Findings

Half BPS and quarter BPS branes identified

D0-brane found to be non-supersymmetric

Results consistent with previous light cone gauge analysis

Abstract

We work out boundary conditions for the covariant open string in the type IIA plane wave background, which corresponds to the D-branes in the type IIA theory. We use the kappa symmetric string action and see what kind of boundary conditions should be imposed to retain kappa symmetry. We find half BPS as well as quarter BPS branes and the analysis agrees with the previous work in the light cone gauge if the result is available. Finally we find that D0-brane is non-supersymmetric.