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. Applications and Related Areas
    1. Conformal Field Theory
      1. Physical Interpretations
        1. Correlation Functions
          1. Partition Functions
            1. Boundary Conditions
            2. String Theory Applications
              1. Heterotic Strings
                1. Compactification
                  1. Mirror Symmetry
                    1. Topological Strings
                    2. Integrable Systems
                      1. KdV Hierarchies
                        1. Tau Functions
                          1. Soliton Theory
                            1. Quantum Groups
                            2. Algebraic Geometry
                              1. Moduli Spaces
                                1. Sheaf Theory
                                  1. Derived Categories
                                    1. Mirror Symmetry

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