13 citations · 31 across the 7 of their papers we have counts for
7 papers
Non-invertible symmetries and mixed anomalies from equations of motion in (3+1)D twisted topological quantum field theories
Zhi-Feng Zhang, Yizhou Huang, Qing-Rui Wang +1
We develop a systematic study on the topological operators that generate invertible and non-invertible higher-form symmetries in twisted topological quantu…
Microscopic Constructions of the Topological Field Theory and Borromean-Rings Braiding in Dimensions
Yizhou Huang, Zhi-Feng Zhang, Qing-Rui Wang +1
Topological order was first studied in fractional quantum Hall states, where anyons reflect electron fractionalization. Recent advances in continuum topological field theories have…
Diagrammatics, Pentagon Equations, and Hexagon Equations of Topological Orders with Loop- and Membrane-like Excitations
Yizhou Huang, Zhi-Feng Zhang, Peng Ye
In spacetime dimensions of 4 (i.e., 3+1) and higher, topological orders exhibit spatially extended excitations like loops and membranes, which support diverse topological data char…
Continuum field theory of 3D topological orders with emergent fermions and braiding statistics
Zhi-Feng Zhang, Qing-Rui Wang, Peng Ye
Universal topological data of topologically ordered phases can be captured by topological quantum field theory in continuous space time by taking the limit of low energies and long…
Fusion rules and shrinking rules of topological orders in five dimensions
Yizhou Huang, Zhi-Feng Zhang, Peng Ye
As a series of work about 5D (spacetime) topological orders, here we employ the path-integral formalism of 5D topological quantum field theory (TQFT) established in Zhang and Ye, J…
On the mean-field and semiclassical limit from quantum -body dynamics
Xuwen Chen, Shunlin Shen, Zhifei Zhang
We study the mean-field and semiclassical limit of the quantum many-body dynamics with a repulsive -type potential and a Coulomb potential, which leads to a macr…
Non-Abelian Fusion, Shrinking and Quantum Dimensions of Abelian Gauge Fluxes
Zhi-Feng Zhang, Qing-Rui Wang, Peng Ye
Braiding and fusion rules of topological excitations are indispensable topological invariants in topological quantum computation and topological orders. While excitations in 2D are…