Quantum Giant Magnons

Understand

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.