Pointed Drinfeld Center Functor
Pointed Drinfeld Center Functor
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DOI：
10.1007/s00220-020-03922-x
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发表时间：
2019-12
影响因子：
2.4
通讯作者：
Liang Kong;Wei Yuan;Hao Zheng
中科院分区：
文献类型：
--
作者：
Liang Kong;Wei Yuan;Hao Zheng
In this work, using the functoriality of the Drinfeld center of fusion categories, we generalize the functoriality of the full center of simple separable algebras in a fixed fusion category to all fusion categories. This generalization produces a new center functor, which involves both Drinfeld center and full center and is called pointed Drinfeld center functor. We prove that this pointed Drinfeld center functor is a symmetric monoidal equivalence. It turns out that this functor provides a precise and rather complete mathematical formulation of the boundary-bulk relation of 1 + 1D rational conformal field theories (RCFT). In this process, we also solve an old problem of computing the fusion of two 0D (or 1D) wall CFT’s along a non-trivial 1 + 1D bulk RCFT. At the end of this work, we explain the mysterious relation between the boundary-bulk relation in 2 + 1D topological orders and that in 1 + 1D RCFTs via the so-called topological Wick rotation.
