Abstract
We obtain a resolution of (generically irreducible) highest-weight modules for coset conformal field theories G/H in terms of free field Fock spaces, by projection of the free field resolutions of Ĝ. We apply the resolution to calculate the characters of some G/H models, including the G-parafermions and G × G/G models. In this way we obtain, for example, explicit expressions for all Kac-Peterson string functions.
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