There are examples of CFTs having correlators with logarithms. What are the examples of physical systems exhibiting such logarithmic behaviour (particularly in $d>2$ dimensions)?

  • $\begingroup$ Do you mean specifically logarithmic CFTs, used for e.g. the description of percolation, or are logarithmic corrections to power law behavior also fine? $\endgroup$
    – Anyon
    Sep 23, 2018 at 18:40
  • $\begingroup$ I meant logarithmic CFTs. But to be honest I don't quite understand why conformal theories would allowed to have log terms in correlators, in the first place. $\endgroup$ Sep 23, 2018 at 19:38
  • $\begingroup$ You might already know it, but here is a comprehensive reference for logarithmic CFTs in $d > 2$: arxiv.org/abs/1605.03959 $\endgroup$
    – M.Jo
    Sep 25, 2018 at 15:06
  • $\begingroup$ Yes, I have seen this paper. But I was mainly interested in applications of LCFTs in physical systems. $\endgroup$ Sep 25, 2018 at 15:56


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