Vertex Operators of SL(2,R) Black Hole and 2-d gravity

الأصل · EN

By boosting the vertex operators of Witten's SL(2,R)/U(1) black hole, we show that in the region V they lead to the primary fields of c=1 matter coupled to gravity at nonzero cosmological constant, while there is no such correspondence in the region I, showing that Witten's black hole corresponds to 2d gravity only in a certain region and in a specific limit. By using the free field representation, we will show that the stress tensor of SL(2,R) gauged by its nilpotent subgroup is equivalent to that of the Liouville theory with zero cosmological constant.