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Paper IPM / P / 7089  


Abstract:  
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 noncompact 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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