
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) -brane solutions. Given this procedure, we are able to relate the dynamical interaction potential for parallel extremal -branes in dimensions to that for extremal black holes in dimensions. In particular, we find that to leading order the potential vanishes for all -symmetric -branes.
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