LEVEL-RANK DUALITY OF WZW THEORIES AND ISOMORPHISMS OF N=2 COSET MODELS

Mappings between certain infinite series of N = 2 superconformal coset models are constructed. They make use of level-rank dualities for B, C, and D type WZW theories, which are described in some detail. The WZ W level-rank dualities do not constitute isomorphisms of the theories; for example, for B and D type WZW theories only simple current orbits rather than individual primary fields are mapped onto each other. Nev ertheless they lead to level-rank dualities of N = 2 coset models that preserve the conformal field theory properties in such a manner that the coset models related by duality are expected to be, in fact, isomo rphic as conformal field theories; in particular, the representation o f the modular group on the characters and the ground states of the Ram ond sector are shown to coincide. The construction also gives some fur ther insight into the nature of the resolution of field identification fixed points of coset theories. (C) 1994 Academic Press, Inc.