Intersecting D-branes in Type IIB Plane Wave Background

TL;DR

This paper investigates the properties of intersecting D-branes in a type IIB plane wave background, focusing on supersymmetry preservation, explicit supercharges, and their algebraic structures using Green-Schwarz formalism.

Contribution

It provides a comprehensive analysis of all possible intersecting D-branes at angles in the plane wave background, including supersymmetry preservation and explicit supercharge expressions.

Findings

$D_ ext{pm} - D_ ext{pm}$ branes can preserve some supersymmetry.

$D_ ext{mp} - D_ ext{pm}$ branes preserve no supersymmetry.

Explicit supercharges and supersymmetry algebra are derived.

Abstract

We study intersecting D-branes in a type IIB plane wave background using Green-Schwarz worldsheet formulation. We consider all possible $D_\pm$-branes intersecting at angles in the plane wave background and identify their residual supersymmetries. We find, in particular, that $D_\mp - D_\pm$ brane intersections preserve no supersymmetry. We also present the explicit worldsheet expressions of conserved supercharges and their supersymmetry algebras.