Vertex Algebras

  1. Virasoro and Conformal Structure
    1. The Virasoro Algebra
      1. Central Extension of Diff(S¹)
        1. Commutation Relations
          1. Central Charge Parameter
            1. Highest Weight Theory
            2. Virasoro Vertex Algebra
              1. Verma Module Construction
                1. Vertex Operator Realization
                  1. Singular Vectors
                    1. Kac Determinant
                    2. Conformal Vertex Algebras
                      1. Conformal Vector Definition
                        1. Energy-Momentum Tensor
                          1. Conformal Weight Grading
                            1. Translation Properties
                            2. Primary and Quasi-Primary Fields
                              1. Primary Field Definition
                                1. Transformation Properties
                                  1. Quasi-Primary Characterization
                                    1. Descendant Field Construction
                                    2. Conformal Dimensions
                                      1. Weight Space Decomposition
                                        1. Finite Dimensional Weight Spaces
                                          1. Conformal Weight Bounds
                                            1. Rationality Conditions

                                          Previous

                                          7. Affine Vertex Algebras

                                          Go to top

                                          Next

                                          9. Module Theory and Representations