Logarithmic CFT at generic central charge: from Liouville theory to the $Q$-state Potts model

@article{Nivesvivat2020LogarithmicCA,
  title={Logarithmic CFT at generic central charge: from Liouville theory to the \$Q\$-state Potts model},
  author={Rongvoram Nivesvivat and Sylvain Ribault},
  journal={SciPost Physics},
  year={2020}
}
Using derivatives of primary fields (null or not) with respect to the conformal dimension, we build infinite families of non-trivial logarithmic representations of the conformal algebra at generic central charge, with Jordan blocks of dimension 2 or 3. Each representation comes with one free parameter, which takes fixed values under assumptions on the existence of degenerate fields. This parameter can be viewed as a simpler, normalization-independent redefinition of the logarithmic coupling… 

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