| 题名 | Pointed Drinfeld Center Functor |
| 作者 | |
| 通讯作者 | Kong, Liang |
| 发表日期 | 2021-02-01
|
| DOI | |
| 发表期刊 | |
| ISSN | 0010-3616
|
| EISSN | 1432-0916
|
| 卷号 | 381期号:3 |
| 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. |
| 相关链接 | [来源记录] |
| 收录类别 | |
| 语种 | 英语
|
| 学校署名 | 第一
; 通讯
|
| 资助项目 | Guangdong Provincial Key Laboratory[2019B121203002]
; Science, Technology and Innovation Commission of Shenzhen Municipality[ZDSYS20170303165926217]
; NSFC[11131008,11971219,11971463,11871303,11871127]
|
| WOS研究方向 | Physics
|
| WOS类目 | Physics, Mathematical
|
| WOS记录号 | WOS:000610480100001
|
| 出版者 | |
| ESI学科分类 | PHYSICS
|
| 来源库 | Web of Science
|
| 引用统计 |
被引频次[WOS]：5
|
| 成果类型 | 期刊论文 |
| 条目标识符 | http://sustech.caswiz.com/handle/2SGJ60CL/221257 |
| 专题 | 量子科学与工程研究院 |
| 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 |
| 第一作者单位 | 量子科学与工程研究院 |
| 通讯作者单位 | 量子科学与工程研究院 |
| 第一作者的第一单位 | 量子科学与工程研究院 |
| 推荐引用方式 GB/T 7714 |
Kong, Liang,Yuan, Wei,Zheng, Hao. Pointed Drinfeld Center Functor[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS,2021,381(3).
|
| APA |
Kong, Liang,Yuan, Wei,&Zheng, Hao.(2021).Pointed Drinfeld Center Functor.COMMUNICATIONS IN MATHEMATICAL PHYSICS,381(3).
|
| MLA |
Kong, Liang,et al."Pointed Drinfeld Center Functor".COMMUNICATIONS IN MATHEMATICAL PHYSICS 381.3(2021).
|
| 条目包含的文件 | 条目无相关文件。 | |||||
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