Aspects of the free field description of string theory on AdS_3

Details Aspects of the free field description of string theory on AdS_3 Aspects of the free field description of string theory on AdS_3

2000-06-09

arxiv.org/abs/hep-th/0006070v2

JHEP 0006:033,2000

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, typos corrected, references added, to appear in JHEP

Scientific paper

10.1088/1126-6708/2000/06/033

The near boundary limit of string theory in AdS_3 is analysed using the Wakimoto free field representation of SL(2,R). The theory is considered as a direct product of the SL(2,R)/U(1) coset and a free boson. Correlation functions are constructed generalizing to the non-compact case the integral representation of conformal blocks introduced by Dotsenko in the compact SU(2) CFT. Sectors of the theory obtained by spectral flow manifestly appear. The formalism naturally leads to consider scattering processes violating winding number conservation. The consistency of the procedure is verified in the factorization limit.

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