%0 Journal Article
%T Canonical treatment of two dimensional gravity as an anomalous gauge theory
%A T. Fujiwara
%A T. Tabei
%A Y. Igarashi
%A K. Maeda
%A J. Kubo
%J Physics
%D 1993
%I arXiv
%R 10.1142/S0217732393001872
%X The extended phase space method of Batalin, Fradkin and Vilkovisky is applied to formulate two dimensional gravity in a general class of gauges. A BRST formulation of the light-cone gauge is presented to reveal the relationship between the BRST symmetry and the origin of $SL(2,R)$ current algebra. From the same principle we derive the conformal gauge action suggested by David, Distler and Kawai.
%U http://arxiv.org/abs/hep-th/9302130v1