Flux stabilization of D-branes in NSNS Melvin background

In this Letter we reexamine the D-brane spectrum in the Melvin background with non-constant 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 non-trivial 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.