The Stability of Branonium

TL;DR

This paper investigates the orbital dynamics of a light anti D6-brane near heavy D6-branes, revealing that time-dependent background fields generally prevent stable elliptical orbits due to modified Coulomb-like potentials.

Contribution

It introduces a model accounting for time-varying moduli fields affecting brane interactions, highlighting the instability of orbits in such dynamic backgrounds.

Findings

Time-dependent moduli fields alter the Coulomb-like potential.

Stable elliptical orbits are generally not possible in this setup.

Orbital stability is compromised by background field variations.

Abstract

We analyse the orbital motion of a light anti D6-brane in the presence of a stack of heavy, distant D6-branes in ten dimensions, taking account of possible time-variations in the background moduli fields. The Coulomb-like central potential arising through brane-antibrane interactions is then modified to include time-dependent prefactors, which generally preclude the existence of stable elliptical orbits.