Dynamical branes on expanding orbifold and complex projective space

TL;DR

This paper constructs new dynamical p-brane solutions in curved backgrounds, exploring their relations to time-dependent solutions on complex projective space and static branes on orbifolds, advancing understanding of brane dynamics in curved geometries.

Contribution

It introduces novel dynamical p-brane solutions on complex projective space and relates them to static branes on orbifolds, expanding the landscape of known brane configurations.

Findings

New dynamical p-brane solutions on curved backgrounds

Connections between time-dependent solutions on al^n and static branes on orbifolds

Enhanced understanding of brane dynamics in complex geometries

Abstract

We construct some new dynamical $p$-brane solutions to gravity theories on curved backgrounds. We discuss the relations between dynamical branes, a new time-dependent solution on complex projective space $\mathbb{C}{\rm P}^n$ and the static $p$-branes on the orbifold ${\mathbb C}^n/{\mathbb Z}_n$.