Canonical treatment of two dimensional gravity as an anomalous gauge theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, KANAZAWA-92-15

Scientific paper

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.

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