Expanded Strings in the Background of NS5-branes via a M2-brane, a D2-brane and D0-branes

TL;DR

This paper explores classical configurations of M2-branes, D2-branes, and D0-branes in backgrounds of NS5-branes, revealing stabilized geometries and their string theory interpretations, including flux quantization and D0-brane constructions of closed strings.

Contribution

It introduces new stabilized brane configurations in NS5-brane backgrounds and connects them to D0-brane descriptions and flux quantization in string theory.

Findings

Identified stable M2-brane configurations such as spheres, cylinders, and tori.

Reproduced torus-like D2-brane configurations from D0-brane actions.

Discussed electric flux quantization conditions on D2-branes.

Abstract

Classical configurations of a M2-brane, a D2-brane and D0-branes are investigated in the background of an infinite array of M5-branes or NS5-branes. On the M2-brane, we discuss three kinds of configurations, such as a sphere, a cylinder and a torus-like one. These are stabilized by virtue of the background fluxes of M5-branes. The torus-like M2-brane configuration has winding and momentum numbers of 11th direction, and in terms of the type IIA superstring theory, this corresponds to a torus-like D2-brane with electric and magnetic fluxes on it. We also reproduce the same configuration from a non-abelian Born-Infeld action for D0-branes. It will be a construction of closed strings from D0-branes. An electric flux quantization condition on the D2-brane is also discussed in terms of D0-branes.