Spin chain from membrane and the Neumann-Rosochatius integrable system
Abstract
We find membrane configurations in AdS4 x S7, 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 AdS5 x S5. 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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