English

Neumann and Neumann-Rosochatius integrable systems from membranes on AdS_4xS^7

High Energy Physics - Theory 2008-11-26 v4 Exactly Solvable and Integrable Systems

Abstract

It is known that large class of classical string solutions in the type IIB AdS_5xS^5 background is related to the Neumann and Neumann-Rosochatius integrable systems, including spiky strings and giant magnons. It is also interesting if these integrable systems can be associated with some membrane configurations in M-theory. We show here that this is indeed the case by presenting explicitly several types of membrane embedding in AdS_4xS^7 with the searched properties.

Keywords

Cite

@article{arxiv.0704.3082,
  title  = {Neumann and Neumann-Rosochatius integrable systems from membranes on AdS_4xS^7},
  author = {P. Bozhilov},
  journal= {arXiv preprint arXiv:0704.3082},
  year   = {2008}
}

Comments

LaTeX, 17 pages, no figures;v2: comments and citations added;v3: 20 pages, new subsection, explanations, comments and references added; v4: some typos fixed, to appear in JHEP