Rusty Scatter Branes

TL;DR

This paper develops a framework for relating the dynamics of p-branes and black holes through dimensional reduction, revealing that the interaction potential vanishes for symmetric p-branes at leading order.

Contribution

It introduces a method for double dimensional reduction applicable to non-static, anisotropic p-brane solutions, connecting p-brane interactions to black hole potentials.

Findings

Interaction potential vanishes for all κ-symmetric p-branes at leading order.

Framework applies to non-static and anisotropic p-brane solutions.

Relates p-brane dynamics to lower-dimensional black hole interactions.

Abstract

We derive double dimensional reduction/oxidation in a framework where it is applicable to describe general non-static (and anisotropic) $p$-brane solutions. Given this procedure, we are able to relate the dynamical interaction potential for parallel extremal $p$-branes in $D$ dimensions to that for extremal black holes in $D-p$ dimensions. In particular, we find that to leading order the potential vanishes for all $\kappa$-symmetric $p$-branes.