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Description
Many scale-invariant theories in D spacetime dimensions have logarithmic correlation functions, in contrast with the lore that scale-invariant observables are power laws. Well-known examples include systems with quenched disorder but also critical percolation and polymer statistics (self-avoiding walks). Such logarithmic CFTs are ill-understood, especially in D > 2 dimensions. In this talk I will discuss concrete examples of logarithmic CFTs and I will explain how their observables are constrained by conformal symmetry. In particular, I will discuss the extent to which these logarithmic CFTs can be treated by conformal bootstrap techniques.
