A dual 2D CFT description of MHV leaf amplitudes using non-compact parafermions is shown to reproduce the known dressed Liouville realization.
Aspects of the free field description of string theory on AdS_3
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abstract
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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MHV leaf amplitudes from parafermions
A dual 2D CFT description of MHV leaf amplitudes using non-compact parafermions is shown to reproduce the known dressed Liouville realization.