English

Matrix Regularization of an Open Supermembrane ---towards M-theory five-branes via open supermembranes ---

High Energy Physics - Theory 2009-10-30 v3

Abstract

We study open supermembranes in 11 dimensional rigid superspace with 6 dimensional topological defects (M-theory five-branes). After rederiving in the Green-Schwarz formalism the boundary conditions for open superstrings in the type IIA theory, we determine the boundary conditions for open supermembranes by imposing kappa symmetry and invariance under a fraction of 11 dimensional supersymmetry. The result seems to imply the self-duality of the three-form field strength on the five-brane world volume. We show that the light-cone gauge formulation is regularized by a dimensional reduction of a 6 dimensional N=1 super Yang-Mills theory with the gauge group SO(N\to\infty). We also analyze the SUSY algebra and BPS states in the light-cone gauge.

Keywords

Cite

@article{arxiv.hep-th/9707200,
  title  = {Matrix Regularization of an Open Supermembrane ---towards M-theory five-branes via open supermembranes ---},
  author = {K. Ezawa and Y. Matsuo and K. Murakami},
  journal= {arXiv preprint arXiv:hep-th/9707200},
  year   = {2009}
}

Comments

30 pages, Latex, references and Appendix E added, some minor changes made