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 \({\mathbb{C}}\) -extension of Swiss-cheese partial operad. We also give a tensor-categorical formulation and constructions of open-closed field algebras over V.
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Kong, L. Open-Closed Field Algebras. Commun. Math. Phys. 280, 207–261 (2008). https://doi.org/10.1007/s00220-008-0446-0
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DOI: https://doi.org/10.1007/s00220-008-0446-0