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I was planning on reading the work of Arthur Bartels, Christopher L. Douglas and André Henriques on the 3-category of conformal nets as discussed in these papers: Coordinate-free nets, Conformal blocks, Fusion of defects, The 3-category and Dualizability.

I wanted to know how the structure of a conformal net arises from the physical notion of a conformal field theory.

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  • $\begingroup$ What physical notion of CFT is your starting point? $\endgroup$
    – Ulrich Pennig
    Commented Sep 7, 2020 at 13:37
  • $\begingroup$ So I'm familiar with the physicists approach and the definition as cobordisms of 1 dimensional complex manifolds (Segal's definition). Either of these would be good starting points for me. $\endgroup$
    – Chetan Vuppulury
    Commented Sep 7, 2020 at 13:39
  • $\begingroup$ I'm very very far from an expert on the subject but this might be helpful $\endgroup$
    – Denis Nardin
    Commented Sep 7, 2020 at 17:08
  • $\begingroup$ You might find André Henriques' lecture notes arxiv.org/abs/1304.7328 useful $\endgroup$
    – Jules Lamers
    Commented Sep 10, 2020 at 12:43

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