On fractional level WZW models (non-integrable admissible affine Lie algebra irreps) for :
Boris Feigin, Feodor Malikov, Modular functor and representation theory of 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)]
On chiral algebras in relation to quantum cohomology:
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