Dynamical angled brane

TL;DR

This paper explores dynamical Dp-brane solutions with SU(2) rotations, analyzing their collision behavior and singularities in type II string theory, extending static solutions to include time-dependent, angled configurations.

Contribution

It introduces a generalization of static angled Dp-brane solutions to dynamical cases with SU(2) rotations and studies their collision dynamics and singularity formation.

Findings

D3-branes with the same charges can collide under certain orientations.

Singularities occur before collision if charges differ.

Specific orientations influence collision outcomes.

Abstract

We discuss the dynamical D$p$-brane solutions describing any number of D$p$-branes whose relative orientations are given by certain SU(2) rotations. These are the generalization of the static angled D$p$-brane solutions. We study the collision of dynamical D3-brane with angles in type II string theory, and show that the particular orientation of the smeared D3-brane configuration can provide an example of colliding branes if they have the same charges. Otherwise a singularity appears before D3-branes collide.