Condensation of Tubular D2-branes in Magnetic Field Background

TL;DR

This paper explores how multiple tubular D2-branes in magnetic backgrounds can condense into larger tubes or split into smaller ones, revealing new stabilization mechanisms in string theory configurations.

Contribution

It demonstrates the condensation of smaller tubes into larger ones and the splitting of tubes in magnetic fields, extending understanding of D-brane stability in various backgrounds.

Findings

Multiple small tubes can condense into a larger tube.

Tubes can split into smaller ones in magnetic fields.

Stability depends on magnetic field strength.

Abstract

It is known that in the Minkowski vacuum a bunch of IIA superstrings with D0-branes can be blown-up to a supersymmetric tubular D2-brane, which is supported against collapse by the angular momentum generated by crossed electric and magnetic Born-Infeld (BI) fields. In this paper we show how the multiple, smaller tubes with relative angular momentum could condense to a single, larger tube to stabilize the system. Such a phenomena could also be shown in the systems under the Melvin magnetic tube or uniform magnetic field background. However, depending on the magnitude of field strength, a tube in the uniform magnetic field background may split into multiple, smaller tubes with relative angular momentum to stabilize the system.