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

WALTER H. BARON; CARMEN A. NÚÑEZ

PHYSICAL REVIEW D - PARTICLE AND FILDS

The American Physical Society

Lugar: New York; Año: 2009 vol. D79 p. 1 - 24

0556-2821

We   study the operator product expansion in the AdS3 Wess-Zumino-Novikov-Witten (WZNW)  model. The operator-product expansion of primary fields and their spectral  flow images is computed from the analytic continuation of  the expressions in the H3+ WZNW model, adding spectral  flow. We  argue that the symmetries of 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.