Abstract
On the basis of the coset construction, we obtained canonical maps that relate the sheaf of conformal blocks of the Wess–Zumino–Witten model to those of the unitarizable Virasoro minimal model. We conjectured that the maps are isomorphisms. Making use of spinor realizations, we confirmed the conjecture for the case of the Ising model. We also discussed the coherency of the sheaf of conformal blocks for the Virasoro algebra.
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