Speaker
Description
We investigate the large-N limit of the BMN matrix model by means of classical bosonic membranes that have spherical topology and spin inside the 11-dimensional maximally supersymmetric plane-wave background. First, we classify all possible M2-brane configurations based on the distribution of their components inside the SO(3) × SO(6) symmetric plane-wave spacetime. We then formulate some simple but very representative ansatze of dielectric tops that rotate in this space. We examine the radial and angular/multipole stability for a wide range of these configurations, locating their regions of stability and instability. We also demonstrate a ”cascade” phenomenon for the membrane instabilities by extending the analysis of fluctuations to higher orders of perturbation theory