Quantum Giant Magnons

Abstract

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.

19 pages, 4 figures; v2: ref. [3] added, misprints corrected

References in corpus (8)

• Giant Magnons
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• Quantum Wrapped Giant Magnon
• Strings as Multi-Particle States of Quantum Sigma-Models
• Asymptotic Bethe Ansatz from String Sigma Model on S^3 x R
• Zero modes for the giant magnon
• Quantum Scattering of Giant Magnons
• Semiclassical Quantization of the Giant Magnon

Cited by in corpus (7)

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• Integrability in Sigma-Models
• Resurgence and $1/N$ Expansion in Integrable Field Theories
• Asymptotics in the bi-Yang-Baxter Sigma Model
• Nonvanishing boundary conditions and dark solitons in the NLS model