Generating functions for WZNW fusion rules
Jun, 19905 pages
Published in:
- Phys.Lett.B 254 (1991) 386-390
- Published: 1991
Report number:
- Print-90-0382 (LAVAL)
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Abstract: (Elsevier)
Generating functions for fusion rules of Wess-Zumino-Novikov-Witten (WZNW) models are introduced. First the generating function for the cases su(2) and su(3) are given. We then conjecture a simple structure for the WZNW fusion rules in terms of the finite Lie algebra tensor products. One consequence is that a simple relationship holds between fusion rule generating functions and the corresponding generating functions for tensor product decompositions in finite Lie algebras. Furthermore, our generating functions provide closed and manifestly non-negative formulae for the fusion rules at all integer levels of WZNW models based on a given finite Lie algebra.- Wess-Zumino-Witten model: fusion
- symmetry: SU(2)
- symmetry: SU(3)
- field theory: conformal
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