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. Vertex Operator Superalgebras
    1. Super Vector Spaces
      1. Z/2Z-Grading
        1. Parity and Sign Rules
          1. Super-Commutativity
            1. Super-Lie Algebras
            2. Superalgebra Axioms
              1. Modified Locality
                1. Super-Jacobi Identity
                  1. Parity Considerations
                    1. Sign Conventions
                    2. Neveu-Schwarz Algebra
                      1. Super-Virasoro Algebra
                        1. Ramond Algebra
                          1. Spectral Flow
                            1. Twisted Sectors
                            2. Fermionic Constructions
                              1. Free Fermion Algebra
                                1. Boson-Fermion Correspondence
                                  1. Spin Representations
                                    1. Clifford Algebra Relations

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                                  14. Rationality and Finiteness

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