Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-06-08
JHEP0611:055,2006
Physics
High Energy Physics
High Energy Physics - Theory
19 pages, JHEP style. v2: Minor changes in the proposed field of sine-Liouville type, new section discussing the relation with
Scientific paper
10.1088/1126-6708/2006/11/055
We study the duality between the two dimensional black hole and the sine-Liouville conformal field theories via exact operator quantization of a classical scattering problem. The ideas are first illustrated in Liouville theory, which is dual to itself under the interchange of the Liouville parameter b by 1/b. In both cases, a classical scattering problem does not determine uniquely the quantum reflection coefficient. The latter is only fixed by assuming that the dual scattering problem has the same reflection coefficient. We also discuss the relation of this approach to the method that exploits the parafermionic symmetry of the model to compute the reflection coefficient.
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