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Generating AdS String Solutions

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arxiv 0712.1193 v2 pith:KKHWHUMT submitted 2007-12-07 hep-th

classification hep-th
keywords stringsolutionssinh-gordonclassicalantisolitonsbreatherbreathersclosed
verification ladder T0 review T1 audit T2 compute T3 formal

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We use a Pohlmeyer type reduction to generate classical string solutions in AdS spacetime. In this framework we describe a correspondence between spikes in AdS_3 and soliton profiles of the sinh-Gordon equation. The null cusp string solution and its closed spinning string counterpart are related to the sinh-Gordon vacuum. We construct classical string solutions corresponding to sinh-Gordon solitons, antisolitons and breathers by the inverse scattering technique. The breather solutions can also be reproduced by the sigma model dressing method.

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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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