Conformal Blocks and Correlators in WZNW Model. I. Genus Zero
Abstract
We consider the free field approach or bosonization technique for the WessZuminoNovikovWitten model with arbitrary KacMoody algebra on Riemann surface of genus zero. This subject was much studied previously, and the paper can be partially taken as a brief survey. The way to obtain wellknown SchechtmanVarchenko solutions of the KnizhnikZamolodchikov equations as certain correlators in free chiral theory is revisited. This gives rise to simple description of space of the WZNW conformal blocks. The general $N$point correlators of the model are constructed from the conformal blocks using nonchiral action for free fields perturbed by exactly marginal terms. The method involved generalizes the DotsenkoFateev prescription for minimal models. As a consequence of this construction we obtain new integral identities.
 Publication:

arXiv eprints
 Pub Date:
 December 1999
 DOI:
 10.48550/arXiv.hepth/9912042
 arXiv:
 arXiv:hepth/9912042
 Bibcode:
 1999hep.th...12042S
 Keywords:

 High Energy Physics  Theory
 EPrint:
 LaTeX, 25pp