Vertex Algebras

  1. Rationality and Finiteness
    1. Rational Vertex Algebras
      1. Definition and Characterization
        1. Finite Module Categories
          1. Modular Invariance
            1. Classification Results
            2. C_2-Cofiniteness
              1. Definition and Motivation
                1. Finiteness Properties
                  1. Zhu's C_2-Algebra
                    1. Applications to Modularity
                    2. Regularity Conditions
                      1. Regular Vertex Algebras
                        1. Energy Bounds
                          1. Spectral Conditions
                            1. Physical Interpretations

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                          13. Vertex Operator Superalgebras

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                          15. Moonshine and Connections