Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-10-15
Phys.Rev.D79:086004,2009
Physics
High Energy Physics
High Energy Physics - Theory
37 pages, 5 figures, version to appear in Physical Review D
Scientific paper
10.1103/PhysRevD.79.086004
We study the operator product expansion in the AdS$_3$ 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 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.
Baron Walter H.
Núñez Carmen A.
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