CORRELATION-FUNCTIONS FOR SOME CONFORMAL THEORIES ON RIEMANN SURFACES

Authors
MONASTYRSKY M NECHAEV S
Citation
M. Monastyrsky et S. Nechaev, CORRELATION-FUNCTIONS FOR SOME CONFORMAL THEORIES ON RIEMANN SURFACES, Modern physics letters A, 12(9), 1997, pp. 589-596
Citations number
15
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields","Physycs, Mathematical
Journal title
Modern physics letters A → ACNP
ISSN journal
02177323
Volume
12
Issue
9
Year of publication
1997
Pages
589 - 596
Database
ISI
SICI code
0217-7323(1997)12:9<589:CFSCTO>2.0.ZU;2-5
Abstract
We discuss the geometrical connection between 2-D conformal field theo ries, 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.