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Paper   IPM / P / 7089
School of Physics
  Title:   2D Black Holes and 2D Gravity
  Author(s):  F. Ardalan
  Status:   In Proceedings
  Proceeding: Low-Dimensional Topology and Quantum Field Theory, 1993, 177-181
  No.:  0
  Year:  1993
  Supported by:  IPM
The SL(2,R)/U(1) coset model, with U(1) an element of the third conjugacy class of SL(2,R) subgroups, is considered. The resulting theory is seen to collapse to a one dimensional field theory of Liouville. Then the 2 dimensional black hole SL(2,R)/U(1), with U(1) a non-compact subgroup boosted by a Lorentz transformation, is considered. In the limit of high boost, the resulting black hole is found to tend to the Liouville field coupled to a C=1 matter field. The limit of the vertex operators of the 2 dimensional black hole also tend to those of the C=1 two dimensional gravity.

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