N =2 Superconformal Nets

@article{Carpi2012NS,
  title={N =2 Superconformal Nets},
  author={Sebastiano Carpi and Robin Hillier and Yasuyuki Kawahigashi and Roberto Longo and Fengjun Xu},
  journal={Communications in Mathematical Physics},
  year={2012},
  volume={336},
  pages={1285-1328}
}
We provide an Operator Algebraic approach to N = 2 chiral Conformal Field Theory and set up the Noncommutative Geometric framework. Compared to the N = 1 case, the structure here is much richer. There are naturally associated nets of spectral triples and the JLO cocycles separate the Ramond sectors. We construct the N = 2 superconformal nets of von Neumann algebras in general, classify them in the discrete series c < 3, and we define and study an operator algebraic version of the N = 2 spectral… 
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18 Citations

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