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Correlation Functions for Some Conformal Theories on Riemann Surfaces
Modern Physics Letters A
We discuss the geometrical connection between 2D conformal field theories, random walks on hyperbolic Riemann surfaces and knot theory. For the wide class of CFTs with monodromies being the discrete subgroups of SL(2,R), the determination of four-point correlation functions are related to construction of topological invariants for random walks on multipunctured Riemann surfacesdoi:10.1142/s0217732397000613 fatcat:phhsm7fynndczkl3bpuucp6are