Vibration modes of giant gravitons in the background of dilatonic D-branes

TL;DR

This paper studies the small vibration modes of giant gravitons in non-standard dilatonic D-brane backgrounds, demonstrating their stability through quadratic approximation analysis.

Contribution

It introduces a method to analyze the stability and vibrational modes of giant gravitons in non-AdS dilatonic D-brane backgrounds using quadratic approximation.

Findings

Normal modes of vibrations identified

Vibrations are stable

Method applicable to non-conventional backgrounds

Abstract

We consider the perturbation of giant gravitons in the background of dilatonic D-branes whose geometry is not of a conventional form of ${\rm AdS}_m \times {\rm S}^n$. We use the quadratic approximation to the brane action to investigate their vibrations around the equilibrium configuration. We found the normal modes of small vibrations of giant gravitons and these vibrations are turned out to be stable.