KMS Of Academy of mathematics and systems sciences, CAS
| Pointed Drinfeld Center Functor | |
| Kong, Liang1,2; Yuan, Wei3,4; Zheng, Hao1,2,5 | |
| 2021-01-23 | |
| 发表期刊 | COMMUNICATIONS IN MATHEMATICAL PHYSICS
 |
| ISSN | 0010-3616 |
| 页码 | 35 |
| 摘要 | 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. |
| DOI | 10.1007/s00220-020-03922-x |
| 收录类别 | SCI |
| 语种 | 英语 |
| 资助项目 | Guangdong Provincial Key Laboratory[2019B121203002] ; Science, Technology and Innovation Commission of Shenzhen Municipality[ZDSYS20170303165926217] ; NSFC[11131008] ; NSFC[11971219] ; NSFC[11971463] ; NSFC[11871303] ; NSFC[11871127] |
| WOS研究方向 | Physics |
| WOS类目 | Physics, Mathematical |
| WOS记录号 | WOS:000610480100001 |
| 出版者 | SPRINGER |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/58056 |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Kong, Liang |
| 作者单位 | 1.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China 2.Southern Univ Sci & Technol, Guangdong Prov Key Lab Quantum Sci & Engn, Shenzhen 518055, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 5.Peking Univ, Dept Math, Beijing 100871, Peoples R China |
| 推荐引用方式 GB/T 7714 | Kong, Liang,Yuan, Wei,Zheng, Hao. Pointed Drinfeld Center Functor[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS,2021:35. |
| APA | Kong, Liang,Yuan, Wei,&Zheng, Hao.(2021).Pointed Drinfeld Center Functor.COMMUNICATIONS IN MATHEMATICAL PHYSICS,35. |
| MLA | Kong, Liang,et al."Pointed Drinfeld Center Functor".COMMUNICATIONS IN MATHEMATICAL PHYSICS (2021):35. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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