English

Spin chain from marginally deformed AdS_3 x S^3

High Energy Physics - Theory 2008-11-26 v3

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.

Keywords

Cite

@article{arxiv.hep-th/0610147,
  title  = {Spin chain from marginally deformed AdS_3 x S^3},
  author = {Wen-Yu Wen},
  journal= {arXiv preprint arXiv:hep-th/0610147},
  year   = {2008}
}

Comments

4 pages, 2 figures, revised for PRD