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arXiv · hep-th/0401061

Closed and open conformal field theories and their anomalies

Po Hu·Igor Kriz
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Abstract

In this paper, we give a general axiomatization of anomalies in closed and open conformal field theories. In particular, we generalize Segal's notion of modular functor to a setting where the ``set of labels'' is a 2-vector space. In the case of open conformal field theory, the ``set of $D$-branes'' is a 3-vector space. We also define a ``topological group completion'' of the symmetric bimonoidal category of finite-dimensional vector spaces, and propose it as a candidate for labelling conformal field theories whose modular functors are super-vector spaces.

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Po Hu, Igor Kriz. 2004-01-10. Closed and open conformal field theories and their anomalies. https://doi.org/10.1007/s00220-004-1202-8

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