Non-commutative branes in D-brane backgrounds

TL;DR

This paper explores how D0-branes in Dp-brane backgrounds can form fuzzy spheres through non-commutative configurations, linking these to dual brane systems and giant gravitons.

Contribution

It demonstrates the formation of fuzzy spheres from D0-branes in specific backgrounds and relates these to dual spherical branes and giant gravitons.

Findings

D0-branes can expand into fuzzy two-spheres in D4-brane backgrounds.

Non-commutative D0-brane configurations correspond to dual spherical D(6-p)-branes.

Connections are established between these configurations and giant gravitons in 11 dimensions.

Abstract

We study Myers world-volume effective action of coincident D-branes. We investigate a system of N_0 D0-branes in the geometry of Dp-branes with p=2 or p=4. The choice of coordinates can make the action simplified and tractable. For p=4, we show that a certain point-like D0-brane configuration solving equations of motion of the action can expand to form a fuzzy two-sphere without changing quantum numbers. We compare non-commutative D0-brane configurations with dual spherical D(6-p)-brane systems. We also discuss the relation between these configurations and giant gravitons in 11-dimensions.