§About this note

• Scope: foundations of vertex operator algebras and their applications.

• Prerequisites: formal calculus.

• Roadmap: VA axioms and properties → conformal structure → tensor products, orbifolds, and cosets → Heisenberg VOA and Virasoro minimal models → modules → tensor categories → extensions and quantum Galois theory.

The material on vertex operator superalgebras, the Majorana fermion, and Pfaffian amplitudes is developed separately in Vertex Operator Superalgebras and the Majorana Fermion, by Chenqi Meng.

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