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Reflection and Transmission for Conformal Defects

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arxiv hep-th/0611296 v2 pith:KLBMP7BX submitted 2006-11-27 hep-th cond-mat.stat-mech

classification hep-thcond-mat.stat-mech
keywords defectsconformalfieldtheoriesalonganswerassociatedcase
verification ladder T0 review T1 audit T2 compute T3 formal

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We consider conformal defects joining two conformal field theories along a line. We define two new quantities associated to such defects in terms of expectation values of the stress tensors and we propose them as measures of the reflectivity and transmissivity of the defect. Their properties are investigated and they are computed in a number of examples. We obtain a complete answer for all defects in the Ising model and between certain pairs of minimal models. In the case of two conformal field theories with an enhanced symmetry we restrict ourselves to non-trivial defects that can be obtained by a coset construction.

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