Canonical treatment of two dimensional gravity as an anomalous gauge theory
arXiv:hep-th/9302130 · doi:10.1142/S0217732393001872
Abstract
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.
11 pages, KANAZAWA-92-15