UsefulLinks
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
14.
Rationality and Finiteness
14.1.
Rational Vertex Algebras
14.1.1.
Definition and Characterization
14.1.2.
Finite Module Categories
14.1.3.
Modular Invariance
14.1.4.
Classification Results
14.2.
C_2-Cofiniteness
14.2.1.
Definition and Motivation
14.2.2.
Finiteness Properties
14.2.3.
Zhu's C_2-Algebra
14.2.4.
Applications to Modularity
14.3.
Regularity Conditions
14.3.1.
Regular Vertex Algebras
14.3.2.
Energy Bounds
14.3.3.
Spectral Conditions
14.3.4.
Physical Interpretations
Previous
13. Vertex Operator Superalgebras
Go to top
Next
15. Moonshine and Connections