Free Field Appoach to String Theory on AdS_3

Details Free Field Appoach to String Theory on AdS_3 Free Field Appoach to String Theory on AdS_3

2000-09-14

arxiv.org/abs/hep-th/0009107v3

Nucl.Phys. B598 (2001) 451-466

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 16 pages, version to appear in Nucl.Phys.B

Scientific paper

10.1016/S0550-3213(01)00002-5

We discuss the correlation functions of the SL(2,C)/SU(2) WZW model, or the CFT on the Euclidean AdS_3. We argue that their calculation is reduced to that of a free theory by taking into account the renormalization and integrating out a certain zero-mode, which is an analog of the zero-mode integration in Liouville theory. Based on the resultant free field picture, we give a simple prescription for calculating the correlation functions. The known exact two- and three-point functions of generic primary fields are correctly obtained, including numerical factors. We also obtain some four-point functions of primaries by solving the Knizhnik-Zamolodchikov equation, and verify that our prescription indeed gives them.

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