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• W3098422035 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." @default.
• W3098422035 created "2020-11-23" @default.
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• W3098422035 date "2004-10-14" @default.
• W3098422035 modified "2023-09-27" @default.
• W3098422035 title "Closed and Open Conformal Field Theories and Their Anomalies" @default.
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• W3098422035 doi "https://doi.org/10.1007/s00220-004-1202-8" @default.
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