Integrable Open Spin Chains in Defect Conformal Field Theory | Zendy

Oliver DeWolfe | Zendy; Nelia Mann | Zendy

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Integrable Open Spin Chains in Defect Conformal Field Theory

Author(s) -

Oliver DeWolfe,

Nelia Mann

Publication year - 2004

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2004/04/035

Subject(s) - integrable system , boundary conformal field theory , bethe ansatz , mathematical physics , conformal field theory , boundary value problem , hamiltonian (control theory) , codimension , conformal map , dirichlet boundary condition , physics , mathematics , quantum electrodynamics , neumann boundary condition , mathematical analysis , quantum mechanics , robin boundary condition , mathematical optimization

We demonstrate that the one-loop dilatation generator for the scalar sectorof a certain perturbation of N=4 Super Yang-Mills with fundamentals is theHamiltonian of an integrable spin chain with open boundary conditions. Thetheory is a supersymmetric defect conformal field theory (dCFT) with thefundamentals in hypermultiplets confined to a codimension one defect. We obtaina K-matrix satisfying a suitably generalized form of the boundary Yang-Baxterequation, study the Bethe ansatz equations and demonstrate how Dirichlet andNeumann boundary conditions arise in field theory, and match to existingresults in the plane wave limit.Comment: 26 pages, LaTeX. v2: references added, typos correcte

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