Reduction of the rational spin sl(2, [formula omitted]) WZNW conformal theory

We construct explicitly the correlation functions on the plane of the rational spin and level A 1( 1) WZNW conformal model. The corresponding Virasoro minimal correlations are recovered in the limit when isospin sl(2, C ) variables x i approach the coordinates z i . The Knizhnik-Zamolodchikov equati...

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Bibliographic Details
Published in:Physics letters. B 1991-09, Vol.267 (1), p.63-70
Main Authors: Furlan, P., Ganchev, A.Ch, Paunov, R.R., Petkova, V.B.
Format: Article
Language:English
Subjects:
Exact sciences and technology
General relativity and gravitation
Gravity in more than four dimensions, kaluza-klein theory, unified field theories
alternative theories of gravity
Physics
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Summary:We construct explicitly the correlation functions on the plane of the rational spin and level A 1( 1) WZNW conformal model. The corresponding Virasoro minimal correlations are recovered in the limit when isospin sl(2, C ) variables x i approach the coordinates z i . The Knizhnik-Zamolodchikov equation reduces to a differential equation for the minimal conformal blocks, reflecting the decoupling of the Virasoro null vectors.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(91)90525-U