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

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.

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