Group level duality of WZW fusion coefficients and Chern-Simons link observables
Jul, 1990
34 pages
Published in:
- Nucl.Phys.B 352 (1991) 863-896
- Published: 1991
Report number:
- BRX-TH-301
View in:
Citations per year
Abstract: (Elsevier)
We present the duality of the fusion rule multiplicities, modular tranformation matrices and conformal weights of the Wess-Zumino-Witten models based on any of the classical affine Lie algebras SU( N ) K , Sp( N ) K and SO( N ) K under the exchange of N and K . We also exhibit the transformation properties of these quantities under the symmetries of the extended Dynkin diagrams, which play a central role in this group-level duality. We interpret these results in Chern-Simons theory, and derive identities between link observables. Several surprising results involving spinor representations of SO( N ) are proven.- field theory: conformal
- dimension: 2
- Wess-Zumino-Witten model
- algebra: Lie
- algebra: affine
- algebra: representation
- duality
- transformation: modular
- Chern-Simons term
References(21)
Figures(0)