Localized Branes and Black Holes

TL;DR

This paper investigates how low-dimensional D-branes and NS-branes become effectively delocalized within higher-dimensional black branes, suggesting that inhomogeneous horizon solutions are likely unphysical and not indicative of generic brane states.

Contribution

It demonstrates that brane delocalization is a classical effect and clarifies that singular solutions with inhomogeneous horizons are probably unphysical.

Findings

Delocalization occurs when localized branes are brought together.

Inhomogeneous horizon solutions are highly singular and likely unphysical.

Most physical brane configurations have homogeneous horizons.

Abstract

We address the delocalization of low dimensional D-branes and NS-branes when they are a part of a higher dimensional BPS black brane, and the homogeneity of the resulting horizon. We show that the effective delocalization of such branes is a classical effect that occurs when localized branes are brought together. Thus, the fact that the few known solutions with inhomogeneous horizons are highly singular need not indicate a singularity of generic D- and NS-brane states. Rather, these singular solutions are likely to be unphysical as they cannot be constructed from localized branes which are brought together from a finite separation.