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

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.

arXiv commentLaTeX, 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

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Cited by in corpus (14)

• Single spike solutions for strings on S2 and S3
• Neumann-Rosochatius integrable system for strings on AdS_4 x CP^3
• Finite-size effects of Membranes on AdS_4 x S_7
• Integrable Rosochatius deformations of higher-order constrained flows and the soliton hierarchy with self-consistent sources
• Giant Magnons on CP^3 by Dressing Method
• On the multi-spin magnon and spike solutions from membranes
• Spin chain from membrane and the Neumann-Rosochatius integrable system
• Stringy Membranes in AdS/CFT
• 2D Heisenberg model from rotating membrane
• Rotating Membranes in AdS_4xM^{1,1,1}
• Integrable systems from membranes on AdS_4 x S^7
• Probing Non-Toric Geometry with Rotating Membranes
• Tensionless supersymmetric M2 branes in $Ad{S}_4\times S^7$ and Giant Diabolo
• P-Branes Dynamics, AdS/CFT and Correlation Functions