Reflection and transmission for conformal defects
By T. Quella, Ingo Runkel, G. Watts. 2006
164 citations recorded by the source corpus.
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.
Subfields: Geometry and Topology, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/37187f3574b10803a9d11696c527dc02f77ed9fe
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
- M. Meineri
- Antonio Rago
- Jürgen Fuchs
- P. Liendo
- Ingo Runkel
- Christoph Schweigert
- V. Gonçalves
- Edoardo Lauria
In Nuclear and High Energy Physics
- M. Meineri
- David Simmons-Duffin
- Antonio Rago
- Edoardo Lauria
- M. Billò
- P. Liendo
- V. Gonçalves
- Jürgen Fuchs
Citations in the corpus
- DEFECT LINES, DUALITIES AND GENERALISED ORBIFOLDS (2009, background): “the Ising model 1 of central charge 1 2 [6, 7].”
- The virtue of defects in 4D gauge theories and 2D CFTs (2010, unknown): “[13, 14, 15, 16, 17, 18, 19]).”
- Three loop analysis of the critical O (N) models in 6-ε dimensions (2014, unknown): “To describe this CFT in d = 2 more precisely, we note the existence of the modular invariant (3, 10) minimal model which describes the tensor product of two Yang-Lee (2, 5) minimal models with a subsequent Z2 projection [39,40].”
- Boundary and interface CFTs from the conformal bootstrap (2015, background): “This intuition can be made precise in 2 d , where the norm of the displacement coincides up to a normalization with the reflection coefficient defined in [58].”
- Defects in conformal field theory (2016, background): “As already mentioned, a general definition of reflection and transmission coefficients in 2d CFT was put forward in [59].”