Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-12-21
Nucl.Phys.Proc.Suppl. 49 (1996) 27-34
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, LaTeX, article.sty, espcrc2.sty
Scientific paper
10.1016/0920-5632(96)00312-X
Talk presented by J.L. Petersen at the 29th Symposium Ahrenshop, Buckow August 29-September 2, 1995. A presentation is given of the free field realization relevant to SL(2) WZW theories with a Hilbert space based on admissible representations. It is known that this implies the presence of two screening charges, one involving a fractional power of a free field. We develop the use of fractional calculus for treating in general such cases. We derive explicit integral representations of $N$-point conformal blocks. We show that they satisfy the Knizhnik-Zamolodchikov equations and we prove how they are related to minimal conformal blocks via a formulation of hamiltonian reduction advocated by Furlan, Ganchev, Paunov and Petkova.
Petersen Jens Lyng
Rasmussen Jorgen
Yu Ming
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