Dp Branes in PP-wave Background

TL;DR

This paper constructs Dp-branes in pp-wave backgrounds using the Green-Schwarz formalism, analyzes their supersymmetry and spectrum, and relates them to nonperturbative objects in dual gauge theories.

Contribution

It provides explicit constructions of Dp-branes in pp-wave backgrounds and analyzes their supersymmetry and spectrum, connecting them to dual gauge theory objects.

Findings

Dp-branes are localized at the origin and preserve half the supersymmetries for p=7, 5, 3.

The spectrum of the brane theory matches fluctuations of world-volume super Yang-Mills.

These branes correspond to nonperturbative objects in the dual gauge theory.

Abstract

Dirichlet p-branes in the background of pp waves are constructed using the massive Green-Schwarz worldsheet action for open strings. These branes are localized at the origin and only for $p=7, 5, 3$ preserve half the supersymmetries. The spectrum of the brane theory is analyzed and is found to be in agreement with the spectrum of the small fluctuations of the world-volume super Yang-Mills theory in this background. These branes are expected to correspond to objects that are nonperturbative in $N$ in the dual gauge theory.