Spin chain from membrane and the Neumann-Rosochatius integrable system

Abstract

We find membrane configurations in AdS_4 x S^7, which correspond to the continuous limit of the SU(2) integrable spin chain, considered as a limit of the SU(3) spin chain, arising in N=4 SYM in four dimensions, dual to strings in AdS_5 x S^5. We also discuss the relationship with the Neumann-Rosochatius integrable system at the level of Lagrangians, comparing the string and membrane cases.

LaTeX, 16 pages, no figures; v2: 17 pages, title changed, explanations and references added; v3: more explanations added; v4: typos fixed, to appear in Phys. Rev. D

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Cited by in corpus (7)

• Finite-size effects of Membranes on AdS_4 x S_7
• Neumann and Neumann-Rosochatius integrable systems from membranes on AdS_4xS^7
• Giant Magnons and Spiky Strings on S^3 with B-field
• 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
• P-Branes Dynamics, AdS/CFT and Correlation Functions