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Open-closed field algebras

Liang Kong
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Abstract

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.

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Liang Kong. 2007-08-12. Open-closed field algebras. https://doi.org/10.1007/s00220-008-0446-0

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