Conformal Blocks and Correlators in WZNW Model. I. Genus Zero
Abstract
We consider the free field approach or bosonization technique for the Wess-Zumino-Novikov-Witten model with arbitrary Kac-Moody 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 well-known Schechtman-Varchenko solutions of the Knizhnik-Zamolodchikov 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 non-chiral action for free fields perturbed by exactly marginal terms. The method involved generalizes the Dotsenko-Fateev prescription for minimal models. As a consequence of this construction we obtain new integral identities.
- Publication:
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arXiv e-prints
- Pub Date:
- December 1999
- DOI:
- 10.48550/arXiv.hep-th/9912042
- arXiv:
- arXiv:hep-th/9912042
- Bibcode:
- 1999hep.th...12042S
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- LaTeX, 25pp