Metastability of Spherical Membranes in Supermembrane and Matrix Theory

Abstract

Motivated by recent work we study rotating ellipsoidal membranes in the framework of the light-cone supermembrane theory. We investigate stability properties of these classical solutions which are important for the quantization of super membranes. We find the stability modes for all sectors of small multipole deformations. We exhibit an isomorphism of the linearized membrane equation with that of the SU(N) matrix model for every value of $N$. The boundaries of the linearized stability region are at a finite distance and they appear for finite size perturbations.

7 pages (two column)

Cited by in corpus (8)

• Rotating Toroidal Branes in Supermembrane and Matrix Theory
• M2-brane Dynamics in the Classical Limit of the BMN Matrix Model
• Quadrupole Instabilities of Relativistic Rotating Membranes
• Stringy Membranes in AdS/CFT
• Multipole Stability of Spinning M2-branes in the Classical Limit of the BMN Matrix Model
• D0-branes with non-zero angular momentum
• M-theory as a dynamical system generator
• Turbulent aspects of BMN membrane dynamics