Useful Links
1. Foundations and Motivation
2. Mathematical Preliminaries
3. Basic Structure of Vertex Algebras
4. Axioms and Fundamental Properties
5. Core Operations and Concepts
6. Fundamental Examples
7. Affine Vertex Algebras
8. Virasoro and Conformal Structure
9. Module Theory and Representations
10. Advanced Constructions
11. Intertwining Operators and Fusion
12. Zhu's Theory
13. Vertex Operator Superalgebras
14. Rationality and Finiteness
15. Moonshine and Connections
16. Computational Aspects
17. Applications and Related Areas
  1. Mathematics

Vertex Algebras

1. Foundations and Motivation
2. Mathematical Preliminaries
3. Basic Structure of Vertex Algebras
4. Axioms and Fundamental Properties
5. Core Operations and Concepts
6. Fundamental Examples
7. Affine Vertex Algebras
8. Virasoro and Conformal Structure
9. Module Theory and Representations
10. Advanced Constructions
11. Intertwining Operators and Fusion
12. Zhu's Theory
13. Vertex Operator Superalgebras
14. Rationality and Finiteness
15. Moonshine and Connections
16. Computational Aspects
17. Applications and Related Areas
  1. Advanced Constructions
    1. Orbifold Theory
      1. Automorphism Groups
        1. Fixed Point Subalgebras
          1. Twisted Sectors
            1. Orbifold Models
              1. G-Twisted Modules
              2. Coset Construction
                1. GKO Construction
                  1. Branching Rules
                    1. Coset Conformal Vectors
                      1. Minimal Models
                        1. Parafermion Algebras
                        2. Extension Theory
                          1. Simple Current Extensions
                            1. Abelian Extensions
                              1. Non-Abelian Extensions
                                1. Classification Problems
                                2. Tensor Product Theory
                                  1. Fusion Products
                                    1. Intertwining Operators
                                      1. Braiding and Associativity
                                        1. Modular Tensor Categories

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                                      11. Intertwining Operators and Fusion

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