Vibration modes of giant gravitons

TL;DR

This paper analyzes the vibrational spectrum of giant gravitons in anti-de-Sitter space and on spheres, revealing frequency properties that suggest specific features of the dual holographic theory.

Contribution

It provides a detailed calculation of small vibration modes of giant gravitons, showing their frequencies depend on background curvature but not on brane size or angular momentum.

Findings

Vibration frequencies relate to the background curvature length scale.

Frequencies are independent of the brane's radius and angular momentum.

Implications for the dual theory include low-lying non-BPS excitations with charge-independent level spacing.

Abstract

We examine the spectrum of small vibrations of giant gravitons, when the gravitons expand in the anti-de-Sitter space and when they expand on the sphere. For any given angular harmonic, the modes are found to have frequencies related to the curvature length scale of the background; these frequencies are independent of radius (and hence angular momentum) of the brane itself. This implies that the holographic dual theory must have, in a given R charge sector, low-lying non-BPS excitations with level spacings independent of the R charge.