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.
Dyonic Giant Magnons
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abstract
We study the classical spectrum of string theory on AdS_5 X S^5 in the Hofman-Maldacena limit. We find a family of classical solutions corresponding to Giant Magnons with two independent angular momenta on S^5. These solutions are related via Pohlmeyer's reduction procedure to the charged solitons of the Complex sine-Gordon equation. The corresponding string states are dual to BPS boundstates of many magnons in the spin-chain description of planar N=4 SUSY Yang-Mills. The exact dispersion relation for these states is obtained from a purely classical calculation in string theory.
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Non-relativistic Strings: Classical solutions and exactly solvable models
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.