Open-closed Field Algebras, Operads and Tensor Categories
نویسنده
چکیده
We introduce the notions of open-closed field algebra and open-closed field algebra over a vertex operator algebra V. In the case that V satisfies certain finiteness and reductivity conditions, we show that an open-closed field algebra over V canonically gives an algebra over a C-extension of the Swiss-cheese partial operad. We also give a tensor categorical formulation and categorical constructions of open-closed field algebras over V .
منابع مشابه
2 00 6 Open - closed field algebras , operads and tensor categories
We introduce the notions of open-closed field algebra and open-closed field algebra over a vertex operator algebra V. In the case that V satisfies certain finiteness and reductivity conditions, we show that an open-closed field algebra over V canonically gives an algebra over a C-extension of the Swiss-cheese partial operad. We also give a tensor categorical formulation and categorical construc...
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