Note on DBI dynamics of Dbrane Near NS5-branes

TL;DR

This paper analyzes the radial dynamics of D-branes near NS5-branes using the DBI action, revealing how energy, angular momentum, and electric fields influence brane motion and gauge dynamics.

Contribution

It provides a detailed study of homogeneous D-brane dynamics near NS5-branes, including effects of compactification and conserved quantities, and explores gauge behavior near the tachyon vacuum.

Findings

Brane motion depends on energy and angular momentum, with high energy allowing escape to infinity.

Electric field remains conserved during evolution.

Gauge dynamics near tachyon vacuum resembles string fluid behavior.

Abstract

In this note, we investigate the homogeneous radial dynamics of (Dp, NS5)-systems without and with one compactified transverse direction, in the framework of DBI effective action. During the homogeneous evolution, the electric field on the D-brane is always conserved and the radial motion could be reduced to an one-dimension dynamical system with an effective potential. When the Dp-brane energy is not high, the brane moves in a restricted region, with the orbits depending on the conserved energy, angular momentum through the form of the effective potential. When the Dp-brane energy is high enough, it can escape to the infinity. It turns out that the conserved angular momentum plays an interesting role in the dynamics. Moreover, we discuss the gauge dynamics around the tachyon vacuum and find that the dynamics is very reminiscent of the string fluid in the rolling tachyon case.