Open AccessReflection and transmission for conformal defects
Author(s) -
Thomas Quella,
Ingo Runkel,
G.M.T. Watts
Publication year - 2007
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 - 10.1088/1126-6708/2007/04/095
Subject(s) - conformal map , reflection (computer programming) , coset , conformal symmetry , ising model , conformal field theory , field (mathematics) , reflection symmetry , symmetry (geometry) , mathematics , line (geometry) , conformal anomaly , pure mathematics , theoretical physics , physics , mathematical analysis , geometry , quantum mechanics , combinatorics , computer science , programming language
We consider conformal defects joining two conformal field theories along aline. We define two new quantities associated to such defects in terms ofexpectation values of the stress tensors and we propose them as measures of thereflectivity and transmissivity of the defect. Their properties areinvestigated and they are computed in a number of examples. We obtain acomplete answer for all defects in the Ising model and between certain pairs ofminimal models. In the case of two conformal field theories with an enhancedsymmetry we restrict ourselves to non-trivial defects that can be obtained by acoset construction.Comment: 32 pages + 13 pages appendix, 12 figures; v2: added eqns (2.7), (2.8) and refs [6,7,39,40], version published in JHE
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