D-brane dynamics near compactified NS5-branes

TL;DR

This paper studies the motion of D-branes near compactified NS5-branes, revealing bound orbits at low energy and analyzing how energy, angular momentum, and electric fields influence these orbits, with modifications needed at small distances.

Contribution

It provides a detailed analysis of D-brane dynamics near compactified NS5-branes, including the conditions for bound orbits and the effects of compactification on the harmonic function.

Findings

Bound orbits exist at low energy and large distances.

Orbit characteristics depend on energy density, angular momentum, and electric field.

Analysis requires modification of harmonic functions at small distances.

Abstract

We examine the dynamics of a $Dp$-brane in the background of $k$ coincident, parallel $NS$5-branes which have had one of their common transverse directions compactified. We find that for small energy, bound orbits can exist at sufficiently large distances where there will be no stringy effects. The orbits are dependent upon the energy density, angular momentum and electric field. The analysis breaks down at radial distances comparable with the compactification radius and we must resort to using a modified form of the harmonic function in this region.