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Quantum Giant Magnons

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arxiv 0802.3681 v2 pith:GQDTQBJH submitted 2008-02-25 hep-th

classification hep-th
keywords giantmagnonsansatzbethelargemodelquantumbose
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The giant magnons are classical solitons of the O(N) sigma-model, which play an important role in the AdS/CFT correspondence. We study quantum giant magnons first at large N and then exactly using Bethe Ansatz, where giant magnons can be interpreted as holes in the Fermi sea. We also identify a solvable limit of Bethe Ansatz in which it describes a weakly-interacting Bose gas at zero temperature. The examples include the O(N) model at large N, weakly interacting non-linear Schrodinger model, and nearly isotropic XXZ spin chain in the magnetic field.

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    hep-th 2026-07 accept novelty 7.0 of 10

    A double-scaling limit of the BMN/plane-wave matrix model is derived analytically and produces an eigenvalue integral for the 1/4-BPS sector of IIA little string theory on R×S⁵.

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