Three-point correlation functions in AdS3

YAGO CAGNACCI; S. M. IGURI

Maresias

Workshop; Qauntum Gravity in the Southern Cone VI; 2013

ICTP-SAIFR

We compute three-point functions for the SL(2,R)-WZNW model. After reviewing the case of the two-point correlator, we compute spectral flow preserving and non-preserving correlation functions in the space-time picture involving three vertex operators carrying an arbitrary amount of spectral flow. When only one or two insertions have nontrivial spectral flow numbers, the method we employ allow us to find expressions without any constraint on the spin values. Unlike these cases, the same pocedure restraint the possible spin configurations when three vertices belong to nonzero spectral flow sectors. We perform several consistency checks on our results. In particular, we verify that they are in complete agreement with previously computed correlators involving states carrying a single unit of spectral flow.