I am looking for introductory lecture notes or a textbook on conformal nets. It should be as self-contained as possible. I am particularly interested in learning about sectors. Preferably it would have examples of conformal nets, other than the ones associated to loop groups and vertex operator algebras. I believe one can construct a conformal net using the Clifford algebra associated to the Hilbert space $L^{2}(S^{1},\mathbb{C})$, a source where this example is treated in some way would be best.
I am aware of the lecture notes by Yasuyuki Kawahigashi, but they are far from self-contained.
André Henriques has written lecture notes on the topic: "Three-tier CFTs from Frobenius algebras" (arXiv:1304.7328) as well as more extensive lecture notes on conformal field theory for a course taught at Berkeley in 2014. Although they do not cover your entire wish-list, they are nicely written and self contained. You could also take a look at the PhD thesis of his student, Shan Shah, "Bicoloured torus loop groups" (arXiv:1704.02600).