Journal article
Logarithmic conformal field theory: Beyond an introduction
T Creutzig, D Ridout
Journal of Physics A Mathematical and Theoretical | Published : 2013
Abstract
This article aims to review a selection of central topics and examples in logarithmic conformal field theory. It begins with the remarkable observation of Cardy that the horizontal crossing probability of critical percolation may be computed analytically within the formalism of boundary conformal field theory. Cardys derivation relies on certain implicit assumptions which are shown to lead inexorably to indecomposable modules and logarithmic singularities in correlators. For this, a short introduction to the fusion algorithm of Nahm, Gaberdiel and Kausch is provided. While the percolation logarithmic conformal field theory is still not completely understood, there are several examples for wh..
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Awarded by Australian Research Council
Funding Acknowledgements
We would like to thank the many people who have contributed to the writing of this logarithmic review through teaching us, discussing with us and telling us when we were talking rubbish. These people include, but are not limited to, Drazen Adamovic, John Cardy, Matthias Gaberdiel, Azat Gainutdinov, Yasuaki Hikida, Kalle Kytola, Pierre Mathieu, Antun Milas, Paul Pearce, Thomas Quella, Jorgen Rasmussen, Peter Ronne, Philippe Ruelle, Ingo Runkel, Yvan Saint-Aubin, Hubert Saleur, Volker Schomerus, Alyosha Semikhatov, Romain Vasseur and Simon Wood. The research of DR is supported by an Australian Research Council Discovery Project DP1093910.