Defects in the 3-dimensional toric code model form a braided fusion 2-category

Kong，Liang1,2; Tian，Yin3; Zhang，Zhi Hao1,4

2020-12-01

10.1007/JHEP12(2020)078

Journal of High Energy Physics   影响因子和分区

1029-8479

1029-8479

It was well known that there are e-particles and m-strings in the 3-dimensional (spatial dimension) toric code model, which realizes the 3-dimensional ℤ topological order. Recent mathematical result, however, shows that there are additional string-like topological defects in the 3-dimensional ℤ topological order. In this work, we construct all topological defects of codimension 2 and higher, and show that they form a braided fusion 2-category satisfying a braiding non-degeneracy condition.

Anyons Topological States of Matter

SCI

英语

第一

Guangdong Provincial Key Laboratory[2019B121203002] ; NSFC[11971219,11971256]

Physics

Physics, Particles & Fields

WOS:000599756600002

SPRINGER

PHYSICS

2-s2.0-85097499875

Scopus

1.Shenzhen Institute for Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China
2.Guangdong Provincial Key Laboratory of Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China
3.Yau Mathematical Sciences Center,Tsinghua University,Beijing,100084,China
4.Wu Wen-Tsun Key Laboratory of Mathematics of Chinese Academy of Sciences,School of Mathematical Sciences,University of Science and Technology of China,Hefei,230026,China

Kong，Liang,Tian，Yin,Zhang，Zhi Hao. Defects in the 3-dimensional toric code model form a braided fusion 2-category[J]. Journal of High Energy Physics,2020,2020(12).

Kong，Liang,Tian，Yin,&Zhang，Zhi Hao.(2020).Defects in the 3-dimensional toric code model form a braided fusion 2-category.Journal of High Energy Physics,2020(12).

Kong，Liang,et al."Defects in the 3-dimensional toric code model form a braided fusion 2-category".Journal of High Energy Physics 2020.12(2020).