On fractional level WZW models (non-integrable admissible affine Lie algebra irreps) for $\mathfrak{sl}(2, \mathbb{C})$:

- Boris Feigin, Feodor Malikov,
*Modular functor and representation theory of $\widehat{\mathfrak{sl}_2}$ at a rational level*, p. 357-405 in: Loday, Stasheff, Voronov (eds.)*Operads: Proceedings of Renaissance Conferences*, Contemporary Mathematics**202**, AMS 1997 (arXiv:q-alg/9511011, ams:conm-202)

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