Correlation Functions for Some Conformal Theories on Riemann Surfaces
Abstract
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 fourpoint correlation functions are related to construction of topological invariants for random walks on multipunctured Riemann surfaces.
 Publication:

Modern Physics Letters A
 Pub Date:
 1997
 DOI:
 10.1142/S0217732397000613
 arXiv:
 arXiv:hepth/9707121
 Bibcode:
 1997MPLA...12..589M
 Keywords:

 High Energy Physics  Theory
 EPrint:
 11 pages, LaTeX, 1 Postscript figure