Intertwining Operator Algebras, Genus-Zero Modular Functors and Genus-Zero Conformal Field Theories

Details Intertwining Operator Algebras, Genus-Zero Modular Functors and Genus-Zero Conformal Field Theories Intertwining Operator Algebras, Genus-Zero Modular Functors and Genus-Zero Conformal Field Theories

1995-12-22

arxiv.org/abs/q-alg/9512024v1

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, AMS-LaTeX file

Scientific paper

We describe the construction of the genus-zero parts of conformal field theories in the sense of G. Segal from representations of vertex operator algebras satisfying certain conditions. The construction is divided into four steps and each step gives a mathematical structure of independent interest. These mathematical structures are intertwining operator algebras, genus-zero modular functors, genus-zero holomorphic weakly conformal field theories, and genus-zero conformal field theories.

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