Spin chain from membrane and the Neumann-Rosochatius integrable system

Details Spin chain from membrane and the Neumann-Rosochatius integrable system Spin chain from membrane and the Neumann-Rosochatius integrable system

2007-06-11

arxiv.org/abs/0706.1443v4

Phys.Rev.D76:106003,2007

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 16 pages, no figures; v2: 17 pages, title changed, explanations and references added; v3: more explanations added; v4:

Scientific paper

10.1103/PhysRevD.76.106003

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.

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