Conformal Blocks and Correlators in WZNW Model. I. Genus Zero

dc.creatorSaraikin, Kirill
dc.date1999-12-06
dc.date.accessioned2026-07-07T04:27:24Z
dc.date.available2026-07-07T04:27:24Z
dc.descriptionWe 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.
dc.descriptionLaTeX, 25pp
dc.identifierhttps://arxiv.org/abs/hep-th/9912042
dc.identifierhttp://arxiv.org/abs/hep-th/9912042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56406
dc.subjectHigh Energy Physics - Theory
dc.titleConformal Blocks and Correlators in WZNW Model. I. Genus Zero
dc.typetext

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