On Some Stability Properties of Compactified D=11 Supermembranes

Details On Some Stability Properties of Compactified D=11 Supermembranes On Some Stability Properties of Compactified D=11 Supermembranes

1998-10-07

arxiv.org/abs/hep-th/9810047v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages,Latex2e lamuphys, Invited talk at International Seminar "Supersymetry and Quantum Symmetries", Dubna

Scientific paper

10.1007/BFb0104600

We desribe the minimal configurations of the bosonic membrane potential, when the membrane wraps up in an irreducible way over $S^{1}\times S^{1}$. The membrane 2-dimensional spatial world volume is taken as a Riemann Surface of genus $g$ with an arbitrary metric over it. All the minimal solutions are obtained and described in terms of 1-forms over an associated U(1) fiber bundle, extending previous results. It is shown that there are no infinite dimensional valleys at the minima.

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