Giant Gravitons with NSNS B field

TL;DR

This paper investigates giant graviton configurations in a background with NSNS B field, revealing how probe branes can behave as massless particles and break supersymmetry, with implications for noncommutative geometry.

Contribution

It demonstrates the existence of giant graviton configurations with NSNS B field and analyzes their behavior and supersymmetry breaking in a specific string theory background.

Findings

Probe branes can behave as massless particles in certain gauge field configurations.

Giant graviton states can be interpreted as fuzzy spheres or noncommutative planes.

Supersymmetry is partially broken by the probe's motion in the background.

Abstract

We study the motion of a D(8-p)-brane probe in the background created by a stack of non-threshold (D(p-2), Dp) bound states for $2\le p\le 6$. The brane probe and the branes of the background have two common directions. We show that for a particular value of the worldvolume gauge field there exist configurations of the probe brane which behave as massless particles and can be interpreted as gravitons blown up into a fuzzy sphere and a noncommutative plane. We check this behaviour by studying the motion and energy of the brane and by determining how supersymmetry is broken by the probe as it moves under the action of the background.