1 Two-dimensional

Abstract

Branched n-coverings of Riemann surfaces are described by a 2d lattice gauge theory of the symmetric group Sn defined on a cell discretization of the surface. We study the theory in the large-n limit, and we find a rich phase diagram with first and second order transition lines. The various phases are characterized by different connectivity properties of the covering surface. We point out some interesting connections with the theory of random walks on group manifolds and with random graph theory.

1 Figure or Table

Cite this paper

@inproceedings{Adda20021T, title={1 Two-dimensional}, author={A . D ’ Adda and Paolo Provero}, year={2002} }