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“School of Physics”

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Paper   IPM / P / 7097
School of Physics
  Title:   Vertex Operators of SL(2,R) Black Hole and 2-D Gravity
  Author(s): 
1.  M. Alimohammadi
2.  F. Ardalan
  Status:   Preprint
  Journal:
  No.:  0
  Year:  1994
  Supported by:  IPM
  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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