Conformal blocks for admissible representations of $SL(2)$ current algebra

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dc.creatorPetersen, J. L.
dc.creatorRasmussen, J.
dc.creatorYu, M.
dc.date1995-10-10
dc.date.accessioned2026-07-07T04:21:32Z
dc.date.available2026-07-07T04:21:32Z
dc.descriptionA review is presented of the recently obtained expressions for conformal blocks for {\it admissible} representations in $SL(2)$ current algebra based on the Wakimoto free field construction. In this realization one needs to introduce a second screening charge, one which depends on fractional powers of free fields. The techniques necessary to deal with these complications are developed, and explicit general integral representations for conformal blocks on the sphere are provided. The fusion rules are discussed and as a check it is verified that the conformal blocks satisfy the Knizhnik-Zamolodchikov equations. (Talk presented by J. Rasmussen at the Leuven workshop, July 10-14 1995, to appear in the proceedings)
dc.description11 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/hep-th/9510059
dc.identifierhttp://arxiv.org/abs/hep-th/9510059
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/54355
dc.subjectHigh Energy Physics - Theory
dc.titleConformal blocks for admissible representations of $SL(2)$ current algebra
dc.typetext

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