Flux Stabilization of D-branes in a non-threshold bound state background

TL;DR

This paper investigates stable D-brane configurations in supergravity backgrounds of non-threshold bound states, revealing how flux quantization stabilizes bound states of lower-dimensional objects polarized into D-branes.

Contribution

It introduces a method to determine stable probe brane configurations in complex bound state backgrounds using flux quantization and supersymmetry analysis.

Findings

Identified stable D-brane configurations in (D(p-2), Dp) and (NS5, Dp) backgrounds.

Demonstrated these configurations as bound states of lower-dimensional objects.

Showed flux quantization as key to stability and polarization phenomena.

Abstract

We study some configurations of brane probes which are partially wrapped on spheres transverse to a stack of non-threshold bound states. The latter are represented by the corresponding supergravity background. Two cases are studied: D(10-p)-branes in the background of (D(p-2), Dp) bound states and D(8-p)-branes in the (NS5, Dp) geometry. By using suitable flux quantization rules of the worldvolume gauge field, we determine the stable configurations of the probe. The analysis of the energy and supersymmetry of these configurations reveals that they can be interpreted as bound states of lower dimensional objects polarized into a D-brane.