| 题名 | Gapped domain walls between 2+1D topologically ordered states |
| 作者 | |
| 发表日期 | 2020-06-12
|
| DOI | |
| 发表期刊 | |
| ISSN | 2643-1564
|
| 卷号 | 2期号:2 |
| 摘要 | The (2+1)-dimensional (2+1D) topological order can be characterized by the mapping-class-group representations for Riemann surfaces of genus 1, genus 2, etc. In this paper, we use those representations to determine the possible gapped boundaries of a 2+1D topological order, as well as the domain walls between two topological orders. We find that mapping-class-group representations for both genus-1 and genus-2 surfaces are needed to determine the gapped domain walls and boundaries. Our systematic theory is based on the fixed-point partition functions for the walls (or the boundaries), which completely characterize the gapped domain walls (or the boundaries). The mapping-class-group representations give rise to conditions that must be satisfied by the fixed-point partition functions, which leads to a systematic theory. Such conditions can be viewed as bulk topological order determining the (noninvertible) gravitational anomaly at the domain wall, and our theory can be viewed as finding all types of the gapped domain wall given a (noninvertible) gravitational anomaly. We also developed a systematic theory of gapped domain walls (boundaries) based on the structure coefficients of condensable algebras. |
| 相关链接 | [Scopus记录] |
| 收录类别 | |
| 语种 | 英语
|
| 学校署名 | 其他
|
| EI入藏号 | 20204309389611
|
| EI主题词 | Group theory
; Mapping
; Topology
|
| EI分类号 | Surveying:405.3
; Algebra:921.1
; Combinatorial Mathematics, Includes Graph Theory, Set Theory:921.4
|
| Scopus记录号 | 2-s2.0-85089393905
|
| 来源库 | Scopus
|
| 引用统计 |
被引频次[WOS]：9
|
| 成果类型 | 期刊论文 |
| 条目标识符 | http://sustech.caswiz.com/handle/2SGJ60CL/253664 |
| 专题 | 理学院_物理系 量子科学与工程研究院 |
| 作者单位 | 1.Institute for Quantum Computing,University of Waterloo,Waterloo,N2L 3G1,Canada 2.Department of Physics,Massachusetts Institute of Technology,Cambridge,02139,United States 3.Shenzhen Institute for Quantum Science and Engineering,Department of Physics,Southern University of Science and Technology,Shenzhen,518055,China |
| 推荐引用方式 GB/T 7714 |
Lan，Tian,Wen，Xueda,Kong，Liang,et al. Gapped domain walls between 2+1D topologically ordered states[J]. Physical Review Research,2020,2(2).
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| APA |
Lan，Tian,Wen，Xueda,Kong，Liang,&Wen，Xiao Gang.(2020).Gapped domain walls between 2+1D topologically ordered states.Physical Review Research,2(2).
|
| MLA |
Lan，Tian,et al."Gapped domain walls between 2+1D topologically ordered states".Physical Review Research 2.2(2020).
|
| 条目包含的文件 | 条目无相关文件。 | |||||
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