Multi-BPS D-vortices

TL;DR

This paper studies BPS configurations of multiple D-vortices from D2-anti-D2 systems, deriving their dynamics and scattering behaviors, with implications for cosmic superstring reconnection.

Contribution

It introduces a BPS limit for multi D-vortices using a DBI-type action and analyzes their static configurations and scattering processes.

Findings

D-vortices are static, non-interacting, and randomly distributed in the BPS limit.

Derived a relativistic Lagrangian describing free massive D-vortex dynamics.

Analyzed 90° and 180° scattering, providing insights into cosmic superstring reconnection.

Abstract

We investigate the BPS configuration of the multi D-vortices produced from the D2${\bar {\rm D}}$2 system. Based on the DBI-type action with a Gaussian-type runaway potential for a complex tachyon field, the BPS limit is achieved when the tachyon profile is thin. The solution states randomly-distributed $n$ static D-vortices with zero interaction. With the obtained BPS configuration, we derive the relativistic Lagrangian which describes the dynamics of free massive D-vortices. We also discuss the 90${}^{\circ}$ and 180${}^{\circ}$ scattering of two identical D-vortices, and present its implications on the reconnection in the dynamics of cosmic superstrings.