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Exact Solution of a Boundary Conformal Field Theory

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arxiv hep-th/9402113 v2 pith:7JC64FGQ submitted 1994-02-18 hep-th cond-mat

Curtis G. Callan , Igor R. Klebanov , Andreas W. W. Ludwig , Juan M. Maldacena This is my paper
classification hep-thcond-mat
keywords boundaryfieldstateconformalneumannpotentialsolutiontheory
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the conformal field theory of a free massless scalar field living on the half line with interactions introduced via a periodic potential at the boundary. An SU(2) current algebra underlies this system and the interacting boundary state is given by a global SU(2) rotation of the left-moving fields in the zero-potential (Neumann) boundary state. As the potential strength varies from zero to infinity, the boundary state interpolates between the Neumann and the Dirichlet values. The full S-matrix for scattering from the boundary, with arbitrary particle production, is explicitly computed. To maintain unitarity, it is necessary to attribute a hidden discrete ``soliton'' degree of freedom to the boundary. The same unitarity puzzle occurs in the Kondo problem, and we anticipate a similar solution.

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Cited by 4 Pith papers

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