Institute for Mathematical Physics D Sl(2) Admissible Representations { Fusion Transformation and Local Correlators a (1) 1 Admissible Representations { Fusion Transformations and Local Correlators
نویسنده
چکیده
We reconsider the earlier found solutions of the Knizhnik-Zamolodchikov (KZ) equations describing correlators based on the admissible representations of A (1) 1. Exploiting a symmetry of the KZ equations we show that the original innnite sums representing the 4-point chiral correlators can be eeectively summed up. Using these simpliied expressions with proper choices of the contours we determine the duality (braid and fusion) transformations and show that they are consistent with the fusion rules of Awata and Yamada. The requirement of locality leads to a 1-parameter family of monodromy (braid) invariants. These analogs of the \diagonal" 2-dimensional local 4-point functions in the minimal Virasoro theory contain in general non-diagonal terms. They correspond to pairs of elds of identical monodromy, having one and the same counterpart in the limit to the Virasoro minimal correlators.
منابع مشابه
Admissible Representations – Fusion Transformations and Local Correlators
We reconsider the earlier found solutions of the Knizhnik-Zamolodchikov (KZ) equations describing correlators based on the admissible representations of A (1) 1 . Exploiting a symmetry of the KZ equations we show that the original infinite sums representing the 4-point chiral correlators can be effectively summed up. Using these simplified expressions with proper choices of the contours we dete...
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We reconsider the earlier found solutions of the Knizhnik-Zamolodchikov (KZ) equations describing correlators based on the admissible representations of A (1) 1 . Exploiting a symmetry of the KZ equations we show that the original infinite sums representing the 4-point chiral correlators can be effectively summed up. Using these simplified expressions with proper choices of the contours we dete...
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We reconsider the earlier found solutions of the Knizhnik-Zamolodchikov (KZ) equations describing correlators based on the admissible representations of A (1) 1. Exploiting a symmetry of the KZ equations we show that the original innnite sums representing the 4-point chiral correlators can be eeectively summed up. Using these simpliied expressions with proper choices of the contours we determin...
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