The formalism that I will be using is that of Haag and Kastler, where a quantum field theory is taken to be functor that assigns to every open subset of "space-time" (taken here to be S

Post script:

In this class, I ended up covering much much less than I had hoped to. I wanted to at least discuss the fusion rules of the SU(2) chiral WZW model, but didn't even get the chance to define the fusion product...

The course will be complemented by a seminar (Mondays

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[Araki]: Sections 4.1, 4.8, 4.9; [Haag]: Sections II.1.2, III.1(with out the stuff about unobservable fields), III.4; [Stasz] Section 2.2.

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[Araki]: 3.5 and appendix C; [BFV]: Section 2.3;

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[GF] Section III; [Bi] Sections 3.4 and 3.5; additional references: [BMT], [Stasz], [Dong-Xu].

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[GF], [Mü] Section 2.2, [Haag] IV.2

[Araki]: Mathematical theory of quantum fields. Amazon

[Bi] Bischoff, Marcel: Models in boundary quantum field theory associated with lattices and loop group models. ArXiv

[BFV] Brunetti, Fredenhagen, Verch: The generally covariant locality principle - A new paradigm for local quantum field theory. arXiv

[BMT] Buchholz, Mack, Todorov: The current algebra on the circle as a germ of local field theories. Elsevier

[Dong-Xu] Conformal nets associated to lattices and their orbifolds. arXiv

[GF] Gabbiani, Frölich: Operator algebras and conformal field theory. Euclid

[Haag]: Local quantum Physics: Fields, particles, algebras. Amazon

[Mü]: Michael Müger: On the structure and representation theory of rational chiral conformal theories. notes

[Stasz]: Die lokale Struktur abelscher Stromalgebren auf dem Kreis. PhD thesis