English

Spin chain sigma models with fermions

High Energy Physics - Theory 2008-11-26 v2

Abstract

The complete one-loop planar dilatation operator of N=4 supersymmetric Yang-Mills is isomorphic to the hamiltonian of an integrable PSU(2,2|4) quantum spin chain. We construct the non-linear sigma models describing the continuum limit of the SU(1|3) and SU(2|3) sectors of the complete N=4 chain. We explicitely identify the spin chain sigma model with the one for a superstring moving in AdS_5xS^5 with large angular momentum along the five-sphere.

Keywords

Cite

@article{arxiv.hep-th/0410022,
  title  = {Spin chain sigma models with fermions},
  author = {Rafael Hernandez and Esperanza Lopez},
  journal= {arXiv preprint arXiv:hep-th/0410022},
  year   = {2008}
}

Comments

16 pages. Latex. v2: Misprints corrected and references added