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Closed and Open Conformal Field Theories and Their Anomalies

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We describe a formalism allowing a completely mathematical rigorous approach to closed and open conformal field theories with general anomaly. We also propose a way of formalizing modular functors with positive and negative parts, and outline some connections with other topics, in particular elliptic cohomology.

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Correspondence to Po Hu.

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Communicated by M.R. Douglas

The authors were supported by the NSF.

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Hu, P., Kriz, I. Closed and Open Conformal Field Theories and Their Anomalies. Commun. Math. Phys. 254, 221–253 (2005). https://doi.org/10.1007/s00220-004-1202-8

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