The WN Minimal Model Classification

@article{Beltaos2012TheWM,
  title={The WN Minimal Model Classification},
  author={Elaine Beltaos and Terry Gannon},
  journal={Communications in Mathematical Physics},
  year={2012},
  volume={312},
  pages={337-360}
}
We first rigourously establish, for any N ≥ 2, that the toroidal modular invariant partition functions for the (not necessarily unitary) WN(p, q) minimal models biject onto a well-defined subset of those of the SU(N) × SU(N) Wess-Zumino-Witten theories at level (p − N, q − N). This permits considerable simplifications to the proof of the Cappelli-Itzykson-Zuber classification of Virasoro minimal models. More important, we obtain from this the complete classification of all modular invariants… CONTINUE READING

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