English

On Some Stability Properties of Compactified D=11 Supermembranes

High Energy Physics - Theory 2009-10-31 v1

Abstract

We desribe the minimal configurations of the bosonic membrane potential, when the membrane wraps up in an irreducible way over S1×S1S^{1}\times S^{1}. The membrane 2-dimensional spatial world volume is taken as a Riemann Surface of genus gg 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.

Keywords

Cite

@article{arxiv.hep-th/9810047,
  title  = {On Some Stability Properties of Compactified D=11 Supermembranes},
  author = {I. Martin and A. Restuccia},
  journal= {arXiv preprint arXiv:hep-th/9810047},
  year   = {2009}
}

Comments

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