9 papers · 1 filter
Parity violation as enforced symmetry breaking in 3D fermionic topological order
Shang-Qiang Ning, Yang Qi, Chenjie Wang +1
Symmetry can be intrinsically broken in topological phases due to inherent incompatibilities, a phenomenon known as enforced symmetry breaking (ESB) in the framework of topological…
Enforced symmetry breaking by invertible topological order
Shang-Qiang Ning, Yang Qi, Zheng-Cheng Gu +1
It is well known that two-dimensional fermionic systems with a nonzero Chern number must break the time reversal symmetry, manifested by the appearance of chiral edge modes on an o…
Anomaly indicators and bulk-boundary correspondences for 3D interacting topological crystalline phases with mirror and continuous symmetries
Shang-Qiang Ning, Bin-Bin Mao, Zhengqiao Li +1
We derive a series of quantitative bulk-boundary correspondences for 3D bosonic and fermionic symmetry-protected topological (SPT) phases under the assumption that the surface is g…
Mirror anomaly in fermionic topological orders
Bin-Bin Mao, Chenjie Wang
We study general 2D fermionic topological orders enriched by the mirror symmetry with . It is known that certain mirror symmetry enriched fermionic topological ord…
Edge theories of 2D fermionic symmetry protected topological phases protected by unitary Abelian symmetries
Shang-Qiang Ning, Chenjie Wang, Qing-Rui Wang +1
Abelian Chern-Simons theory, characterized by the so-called matrix, has been quite successful in characterizing and classifying Abelian fractional quantum hall effect (FQHE) as…
Topological Quantum Field Theory for Abelian Topological Phases and Loop Braiding Statistics in -Dimensions
Qing-Rui Wang, Meng Cheng, Chenjie Wang +1
Topological qauntum field theory(TQFT) is a very powerful theoretical tool to study topological phases and phase transitions. In D, it is well known that the Chern-Simons theo…