Metastability of Spherical Membranes in Supermembrane and Matrix Theory

Details Metastability of Spherical Membranes in Supermembrane and Matrix Theory Metastability of Spherical Membranes in Supermembrane and Matrix Theory

2000-07-25

arxiv.org/abs/hep-th/0007198v2

JHEP 0011 (2000) 020

Physics

High Energy Physics

High Energy Physics - Theory

7 pages (two column)

Scientific paper

10.1088/1126-6708/2000/11/020

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.

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