Cascade of instabilities in the classical limit of the BMN matrix model

TL;DR

This paper investigates the stability of a static dielectric M2-brane in a plane-wave background, revealing a cascade of instabilities from dipole and quadrupole sectors that affect higher multipoles at NLO.

Contribution

It provides a detailed analysis of the stability cascade in the classical limit of the BMN matrix model, highlighting the propagation of instabilities across multipole sectors.

Findings

Instabilities originate from dipole and quadrupole sectors at LO.

Instabilities propagate to all multipoles at NLO.

A cascade of instabilities affects the classical limit of the BMN matrix model.

Abstract

We study the leading (LO) and the next-to-leading order (NLO) stability of multipole perturbations for a static dielectric M2-brane with spherical topology in the 11-dimensional maximally supersymmetric plane-wave background. We observe a cascade of instabilities that originates from the dipole (j=1) and quadrupole (j=2) sectors (the only unstable sectors of the LO) and propagates towards all the multipoles of the NLO.