Boundary States in IIA Plane-Wave Background

TL;DR

This paper constructs boundary states for Type IIA strings in a plane wave background, ensuring they reproduce open string partition functions and correctly describe BPS D-branes at the origin.

Contribution

It provides a direct method to derive boundary states in a plane wave background using channel duality, clarifying the boundary conditions for open strings.

Findings

Boundary states reproduce open string partition functions for Dp-Dp and Dp-Dbarp systems.

D p branes are shown to be half BPS at the origin of the plane wave.

Method confirms boundary states' consistency with open string theory in this background.

Abstract

We work out boundary states for Type IIA string theory on a plane wave background. By directly utilizing the channel duality, the induced conditions from the open string boundary conditions are imposed on the boundary states. The resulting boundary states correctly reproduce the partition functions of the open string theory for $DpDp$ and $DpD\bar{p}$ cases where $Dp$ branes are half BPS brane if located at the origin of the plane wave background.