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

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arxiv 1911.06662 v2 pith:OUAYN2J6 submitted 2019-11-15 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords modelconformalfieldlandau-ginzburgmathcaltheorybeyondclassification
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abstract

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

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