$A_1^{(1)}$ Admissible Representations -- Fusion Transformations and Local Correlators

Details $A_1^{(1)}$ Admissible Representations -- Fusion Transformations and Local Correlators $A_1^{(1)}$ Admissible Representations -- Fusion Transformations and Local Correlators

1996-08-04

arxiv.org/abs/hep-th/9608018v2

Nucl.Phys. B491 (1997) 635-658

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 20 pages; misprints corrected, few small additions

Scientific paper

10.1016/S0550-3213(97)00038-2

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 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 fields of identical monodromy, having one and the same counterpart in the limit to the Virasoro minimal correlators.

Affiliated with

Also associated with

No associations

Rating

$A_1^{(1)}$ Admissible Representations -- Fusion Transformations and Local Correlators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with $A_1^{(1)}$ Admissible Representations -- Fusion Transformations and Local Correlators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $A_1^{(1)}$ Admissible Representations -- Fusion Transformations and Local Correlators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-277033