logarithmic CFT



A class of 2d conformal field theories which are not rational conformal field theories but are the closest to them in the class of irrational. The appearance of the logarithmic term corresponds to the nontrivial 2×22\times 2 Jordan blocks for the L 0L_0 operator. Many models of LCFT seem to be related to the quantum groups at even root of unity.


  • John Cardy, Logarithmic conformal field theories as limits of ordinary CFTs and some physical applications, arXiv:1302.4279
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  • 2011 workshop Logarithmic CFT and representation theory
  • Matthias R Gaberdiel, Ingo Runkel, From boundary to bulk in logarithmic CFT, J. Phys. A: Math. Theor. 41 075402 (2008) doi
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  • A. M. Semikhatov, Factorizable ribbon quantum groups in logarithmic conformal field theories, Theor.Math.Phys.154:433-453, 2008 arxiv/0705.4267; A Heisenberg double addition to the logarithmic Kazhdan–Lusztig duality, Lett.Math.Phys.92:81-98, 2010 arxiv/0905.2215
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  • Philippe Ruelle, Logarithmic conformal invariance in the Abelian sandpile model, arxiv/1303.4310
  • David Ridout, Simon Wood, Bosonic ghosts at c=2c=2 as a logarithmic CFT, arxiv/1408.4185
category: physics

Last revised on August 20, 2014 at 02:36:40. See the history of this page for a list of all contributions to it.