FZZ Scattering
Author(s) -
Ari Pakman
Publication year - 2006
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2006/11/055
Subject(s) - reflection coefficient , scattering , duality (order theory) , physics , mathematical physics , quantization (signal processing) , conformal map , scattering theory , reflection (computer programming) , quantum field theory , operator (biology) , crossing , quantum mechanics , mathematical analysis , mathematics , pure mathematics , optics , biochemistry , chemistry , repressor , computer science , transcription factor , gene , programming language , algorithm
We study the duality between the two dimensional black hole and thesine-Liouville conformal field theories via exact operator quantization of aclassical scattering problem. The ideas are first illustrated in Liouvilletheory, which is dual to itself under the interchange of the Liouvilleparameter b by 1/b. In both cases, a classical scattering problem does notdetermine uniquely the quantum reflection coefficient. The latter is only fixedby assuming that the dual scattering problem has the same reflectioncoefficient. We also discuss the relation of this approach to the method thatexploits the parafermionic symmetry of the model to compute the reflectioncoefficient.Comment: 19 pages, JHEP style. v2: Minor changes in the proposed field of sine-Liouville type, new section discussing the relation with parafermionic symmetry, references adde
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