Flux Stabilization of D-branes in NSNS Melvin Background

TL;DR

This paper investigates the stability of D-branes in a Melvin background with a nonconstant NSNS B-field, revealing stable bound states stabilized by fluxes and their interpretation as fuzzy geometries.

Contribution

It demonstrates the existence of stable D2-D0 bound states without wrapping cycles, stabilized by NSNS B-field and magnetic flux, and interprets them as fuzzy tori from the D0-brane perspective.

Findings

Stable D2-D0 bound states exist without wrapping cycles.

Bound states are stabilized by NSNS B-field and magnetic flux.

D0-branes form fuzzy torus configurations.

Abstract

In this paper we reexamine the D-brane spectrum in the Melvin background with nonconstant NSNS B-field from the viewpoint of its world-volume and string world-sheet theory. We find that the stable D2-D0 bound state exists even though it does not wrap any nontrivial cycles. We show that this system is stabilized by the presence of the NSNS B-field and the magnetic flux F. Moreover from the non-abelian world-volume theory of D0-branes the bound state is regarded as a system of D0-branes expanding into a fuzzy torus.