D0-branes with non-zero angular momentum

TL;DR

This paper explores how internal angular momentum can cause a system of D0-branes to self-expand into higher-dimensional non-commutative branes, analyzing stability and new solutions.

Contribution

It introduces a new extended solution embedding D0-branes in 9 dimensions and demonstrates the stability of the system through linear analysis.

Findings

D0-branes can form D2-branes via angular momentum.

A new extended solution in 9 dimensions is proposed.

System stability is confirmed through linear analysis.

Abstract

In my talk I shall consider the mechanism of self-expansion of a system of N D0-branes into high-dimensional non-commutative world-volume investigated by Harmark and Savvidy. Here D2-brane is formed due to the internal angular momentum of D0-brane system. The idea is that attractive force of tension should be cancelled by the centrifugal motion preventing a D-brane system from collapse to a lower-dimensional one. I shall also present a new extended solution where a total of 9 space dimensions is used to embed a D0-brane system. In the last section, by performing linear analysis, the stability of the system is demonstrated.