Reflection and Transmission for Conformal Defects

Details Reflection and Transmission for Conformal Defects Reflection and Transmission for Conformal Defects

2006-11-27

arxiv.org/abs/hep-th/0611296v2

JHEP 0704:095,2007

Physics

High Energy Physics

High Energy Physics - Theory

32 pages + 13 pages appendix, 12 figures; v2: added eqns (2.7), (2.8) and refs [6,7,39,40], version published in JHEP

Scientific paper

10.1088/1126-6708/2007/04/095

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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