SUPERCONFORMAL COSET EQUIVALENCE FROM LEVEL-RANK DUALITY

We construct a one-to-one map between the primary fields of the N = 2 superconformal Kazama-Suzuki models G(m, n, k) and G(k, n, m) based on complex Grassmannian cosets, using level-rank duality of Wess-Zumino- Witten models. We then show that conformal weights, superconformal U(1 ) charges, modular transformation matrices, and fusion rules are prese rved under this map, providing strong evidence for the equivalence of these coset models. (C) 1997 Elsevier Science B.V.