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Paper IPM / P / 7097  


Abstract:  
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.
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