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

Physics – High Energy Physics – High Energy Physics - Theory

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LaTeX, 17 pages, no figures;v2: comments and citations added;v3: 20 pages, new subsection, explanations, comments and referenc

Scientific paper

10.1088/1126-6708/2007/08/073

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.

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