Correlation functions for some conformal theories on Riemann surfaces

Details Correlation functions for some conformal theories on Riemann surfaces Correlation functions for some conformal theories on Riemann surfaces

1997-07-12

arxiv.org/abs/hep-th/9707121v1

Mod.Phys.Lett. A12 (1997) 589-596

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX, 1 Postscript figure

Scientific paper

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 surfaces

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