Integrable Open Spin Chains in Defect Conformal Field Theory

Details Integrable Open Spin Chains in Defect Conformal Field Theory Integrable Open Spin Chains in Defect Conformal Field Theory

2004-01-07

arxiv.org/abs/hep-th/0401041v2

JHEP 0404 (2004) 035

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/1126-6708/2004/04/035

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.

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