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By studying the infra-red fixed point of an $\mathcal{N}=(0,2)$Landau-Ginzburg model, we find an example of modular invariant partitionfunction beyond the ADE classification. This stems from the fact that a part ofthe left-moving sector is a new conformal field theory which is a variant ofthe parafermion model.

New conformal field theory from $\mathcal{N}=(0,2)$ Landau-Ginzburg model