English

Integrable Open Spin Chains in Defect Conformal Field Theory

High Energy Physics - Theory 2009-11-10 v2

Abstract

We demonstrate that the one-loop dilatation generator for the scalar sector of a certain perturbation of N=4 Super Yang-Mills with fundamentals is the Hamiltonian of an integrable spin chain with open boundary conditions. The theory is a supersymmetric defect conformal field theory (dCFT) with the fundamentals in hypermultiplets confined to a codimension one defect. We obtain a K-matrix satisfying a suitably generalized form of the boundary Yang-Baxter equation, study the Bethe ansatz equations and demonstrate how Dirichlet and Neumann boundary conditions arise in field theory, and match to existing results in the plane wave limit.

Keywords

Cite

@article{arxiv.hep-th/0401041,
  title  = {Integrable Open Spin Chains in Defect Conformal Field Theory},
  author = {Oliver DeWolfe and Nelia Mann},
  journal= {arXiv preprint arXiv:hep-th/0401041},
  year   = {2009}
}

Comments

26 pages, LaTeX. v2: references added, typos corrected