Fusion rules and four-point functions in the AdS3 WZNW model

WALTER H. BARON, CARMEN NUÑEZ

Barcelona

Seminario; Theory Group Seminar; 2009

Grupo de teoría, Universidad de Barcelona

We study the operator product expansion in the AdS3 WZNW model. The OPE of primary fields and their spectral flow images is computed from the analytic continuation of the expressions in the H+3 WZNW model, adding spectral flow. We argue that the symmetriesof the affine algebra require a truncation which establishes the closure of the fusion rules on the Hilbert space of the theory. Although the physical mechanism determining the  decoupling is not completely understood, we present several consistency checks on the results. A preliminary analysis of factorization allows to obtain some properties of four-point functions involving fields in generic sectors of the theory, to verify that they agree with the spectral flow selection rules and to show that the truncation must be realized in physical amplitudes for consistency.