Multipole Stability of Spinning M2-branes in the Classical Limit of the BMN Matrix Model

TL;DR

This paper investigates the stability of spinning dielectric M2-branes in a maximally supersymmetric plane-wave background, identifying specific instability windows in dipole and quadrupole sectors.

Contribution

It provides the first analysis of multipole stability for spinning M2-branes in the BMN matrix model's classical limit.

Findings

Identifies instability windows in dipole and quadrupole sectors.

Shows stability outside these specific instability regions.

Abstract

We explore the stability of a recently found class of spinning dielectric M2-branes in the 11-dimensional maximally supersymmetric plane-wave background. We find two small windows of instabilities in the dipole (j=1) and quadrupole (j = 2) sector of linear multipole perturbations.