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arXiv · 1507.05159

An $S_3$-symmetry of the Jacobi Identity for Intertwining Operator Algebras

Ling Chen
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Abstract

We prove an $S_{3}$-symmetry of the Jacobi identity for intertwining operator algebras. Since this Jacobi identity involves the braiding and fusing isomorphisms satisfying the genus-zero Moore-Seiberg equations, our proof uses not only the basic properties of intertwining operators, but also the properties of braiding and fusing isomorphisms and the genus-zero Moore-Seiberg equations. Our proof depends heavily on the theory of multivalued analytic functions of several variables, especially the theory of analytic extensions.

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Ling Chen. 2015-07-18. An $S_3$-symmetry of the Jacobi Identity for Intertwining Operator Algebras. https://arxiv.org/abs/1507.05159

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