On classification of extremal non-holomorphic conformal field theories

@article{Tener2016OnCO,
  title={On classification of extremal non-holomorphic conformal field theories},
  author={James E. Tener and Zhenghan Wang},
  journal={arXiv: Mathematical Physics},
  year={2016}
}
Rational chiral conformal field theories are organized according to their genus, which consists of a modular tensor category $\mathcal{C}$ and a central charge $c$. A long-term goal is to classify unitary rational conformal field theories based on a classification of unitary modular tensor categories. We conjecture that for any unitary modular tensor category $\mathcal{C}$, there exists a unitary chiral conformal field theory $V$ so that its modular tensor category $\mathcal{C}_V$ is $\mathcal… 
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