Spin chain from marginally deformed AdS_3 x S^3

Abstract

We derive a spin chain Hamiltonian from a fast spinning string in the marginally deformed AdS(3)X S(3). This corresponds to a closed trajectory swept out by the SU(2) or SL(2) spin vector on the surface of one-parameter deformed two-sphere or hyperboloid in the background of anisotropic magnetic field interaction. In the limit of small deformation, a class of general Landau-Lifshitz equation with a nontrivial anisotropic matrix can be derived.

4 pages, 2 figures, revised for PRD

References in corpus (2)

• Giant Magnons
• Spin Chain with Magnetic Field and Spinning String in Magnetic Field Background

Cited by in corpus (3)

• Hidden Yangian symmetry in sigma model on squashed sphere
• Giant Magnons and Spiky Strings on S^3 with B-field
• 2D Heisenberg model from rotating membrane