Instabilities of spherical membranes in supermembrane and matrix theory | Zendy

Minos Axenides | Zendy; E.G. Floratos | Zendy; Leandros Perivolaropoulos | Zendy

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Instabilities of spherical membranes in supermembrane and matrix theory

Author(s) -

Minos Axenides,

E.G. Floratos,

Leandros Perivolaropoulos

Publication year - 2000

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2000/11/020

Subject(s) - multipole expansion , membrane , ellipsoid , quantization (signal processing) , physics , stability (learning theory) , matrix (chemical analysis) , classical mechanics , mathematical physics , quantum mechanics , mathematics , materials science , chemistry , astronomy , machine learning , computer science , composite material , biochemistry , algorithm

Motivated by recent work on classical matrix membranes 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 quntization of super membranes. We find instability modes for various sectors of multipole deformations which represent the emission of $N=2l+1$ $D0$-branes from the rotating ellipsoidal membrane. We exhibit an isomorphism of the linearized membrane equation with those of the SU(N) matrix model for every value of $N$. We numerically determine the instability patterns in various regions of the membrane tension-N diagram

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