A Note on decoupling conditions for generic level sl(affine)(3)(k) and fusion rules
Jun, 1999
28 pages
Published in:
- Nucl.Phys.B 571 (2000) 457-478
e-Print:
- hep-th/9906139 [hep-th]
Report number:
- KCL-MTH-99-23
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Abstract:
We find the solution of the singular vector decoupling equations on 3-point functions for the particular case when one of the fields is of weight . 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 fusion rules determined there both for generic \kappa \not \in \IQ and fractional levels. We have also analysed the fusion in 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 fractional level admissible representations.- Wess-Zumino-Witten model
- symmetry: SL(3)
- decoupling
- algebra: fusion
- vector: singularity
- correlation function
- differential equations
- n-point function: 3
- field theory: conformal
- mathematical methods
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