A Jacobi identity for intertwining operator algebras
نویسنده
چکیده
We find a Jacobi identity for intertwining operator algebras. Most of the main properties of genus-zero conformal field theories, including the main properties of vertex operator algebras, modules, intertwining operators, Verlinde algebras, and fusing and braiding matrices, are incorporated into this identity. We prove that intertwining operators for a suitable vertex operator algebra satisfy this Jacobi identity. Two equivalent definitions of intertwining operator algebra in terms of this Jacobi identity are given.
منابع مشابه
Generalized Rationality and a “Jacobi Identity” for Intertwining Operator Algebras
We prove a generalized rationality property and a new identity that we call the “Jacobi identity” for intertwining operator algebras. Most of the main properties of genus-zero conformal field theories, including the main properties of vertex operator algebras, modules, intertwining operators, Verlinde algebras, and fusing and braiding matrices, are incorporated into this identity. Together with...
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