On fractional-level WZW models and logarithmic CFT:
Kazuya Kawasetsu, David Ridout, Relaxed highest-weight modules I: rank 1 cases, Commun. Math. Phys. 368 (2019) 627–663 arXiv:1803.01989, doi:10.1007/s00220-019-03305-x
Kazuya Kawasetsu, David Ridout, Relaxed highest-weight modules II: classifications for affine vertex algebras, Communications in Contemporary Mathematics, 24 05 (2022) 2150037 arXiv:1906.02935, doi:10.1142/S0219199721500371
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