A note on decoupling conditions for generic level $\hat{sl}(3)_k$ and fusion rules

Details A note on decoupling conditions for generic level $\hat{sl}(3)_k$ and fusion rules A note on decoupling conditions for generic level $\hat{sl}(3)_k$ and fusion rules

1999-06-17

arxiv.org/abs/hep-th/9906139v1

Nucl.Phys. B571 (2000) 457-478

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 1 figure

Scientific paper

10.1016/S0550-3213(99)00745-2

We find the solution of the $\hat{sl}(3)_k$ singular vector decoupling equations on 3-point functions for the particular case when one of the fields is of weight $w_0\cdot k\Lambda_0$. The result is a function with non-trivial singularities in the flag variables, namely a linear combination of 2F1 hypergeometric functions. This calculation fills in a gap in [1] and confirms the $\hat{sl}(3)_k$ fusion rules determined there both for generic $\kappa \not \in \IQ$ and fractional levels. We have also analysed the fusion in $\hat{sl}(3)_k$ using algebraic methods generalising those of Feigin and Fuchs and again find agreement with [1]. In the process we clarify some details of previous treatments of the fusion of $\hat{sl}(2)_k$ fractional level admissible representations.

Affiliated with

Also associated with

No associations

Rating

A note on decoupling conditions for generic level $\hat{sl}(3)_k$ and fusion rules 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 note on decoupling conditions for generic level $\hat{sl}(3)_k$ and fusion rules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A note on decoupling conditions for generic level $\hat{sl}(3)_k$ and fusion rules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-615250