期刊
COMMUNICATIONS IN MATHEMATICAL PHYSICS
卷 313, 期 2, 页码 351-373出版社
SPRINGER
DOI: 10.1007/s00220-012-1500-5
关键词
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资金
- NSF [PHY-0803371]
- ARO [W911NF-09-1-0442]
- Gordon and Betty Moore Foundation through Caltech's Center for the Physics of Information
- Basic Research Young Scholars Program
- Tsinghua University
- NSFC [11071134]
- Division Of Physics
- Direct For Mathematical & Physical Scien [0803371] Funding Source: National Science Foundation
We define a class of lattice models for two-dimensional topological phases with boundary such that both the bulk and the boundary excitations are gapped. The bulk part is constructed using a unitary tensor category as in the Levin-Wen model, whereas the boundary is associated with a module category over . We also consider domain walls (or defect lines) between different bulk phases. A domain wall is transparent to bulk excitations if the corresponding unitary tensor categories are Morita equivalent. Defects of higher codimension will also be studied. In summary, we give a dictionary between physical ingredients of lattice models and tensor-categorical notions.
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