1Service de Physique Théorique (Laboratoire de l’Institut de Recherche Fondamentale du Commissariat à l’Energie Atomique), de Saclay, 91190-Gif sur Yuette, Cedex, France
Tóm tắt
The coupling of conformal field theories to 2-d gravity may be studied in the conformal gauge. As an application, the results of Knizhnik, Polyakov and Zamolodchikov for the scaling dimensions of conformal fields are derived in a simple way. Their conjecture for the susceptibility exponent γ of strings is proven and extended to arbitrary genus surfaces. The result agrees with exact results from random lattice models.