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Neumann-Rosochatius integrable system for strings on AdS_4 x CP^3

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arxiv 0807.3134 v2 pith:VCBXJ5AL submitted 2008-07-21 hep-th

classification hep-th
keywords giantintegrablemagnonneumann-rosochatiussinglesolutionsspikesystem
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We use the reduction of the string dynamics on AdS_4 x CP^3 to the Neumann-Rosochatius integrable system. All constraints can be expressed simply in terms of a few parameters. We analyze the giant magnon and single spike solutions on R_t x CP^3 with two angular momenta in detail and find the energy-charge relations. The finite-size effects of the giant magnon and single spike solutions are analyzed.

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  1. Non-relativistic Strings: Classical solutions and exactly solvable models

    hep-th 2025-04 reject novelty 4.0 of 10

    Non-relativistic strings on R x S2 admit spinning and pulsating solutions whose leading and next-to-leading order dynamics are cast as Neumann-Rosochatius-like solvable models with Bohr-Sommerfeld energy spectra.

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