Abstract: |
I will review basic properties of correlation functions in conformal field theory. This includes in particular a description of the relation between correlation functions and conformal blocks (the principle of holomorphic factorization), the sewing constraints and mapping class group invariance, and a discussion of similarities and differences between rational and logarithmic conformal field theories. I will also summarize some pertinent features of the so-called TFT-approch, which furnishes a universal construction of all correlation functions (as elements of spaces of conformal blocks) of rational CFTs by expressing them as invariants of three-manifolds with embedded ribbon graphs. |