2.1k citations · 27.7k across the 228 of their papers we have counts for
6 papers · 2 filters
Emergent (anomalous) higher symmetries from topological orders and from dynamical electromagnetic field in condensed matter systems
Xiao-Gang Wen
The usual condensed matter lattice theories do not include dynamical electromagnetic (EM) field and do not have higher symmetries naturally (unless we engineer fine-tuned toy model…
Fermion decoration construction of symmetry protected trivial orders for fermion systems with any symmetries and in any dimensions
Tian Lan, Chenchang Zhu, Xiao-Gang Wen
We use higher dimensional bosonization and fermion decoration to construct exactly soluble interacting fermion models to realize fermionic symmetry protected trivial (SPT) orders (…
A continuous topological phase transition between two 1D anti-ferromagnetic spin-1 boson superfluids with the same symmetry
Wenjie Ji, Xiao-Gang Wen
Spin-1 bosons on a 1-dimensional chain, at incommensurate filling with anti-ferromagnetic spin interaction between neighboring bosons, may form a spin-1 boson condensed state that…
Topological non-linear -model, higher gauge theory, and a realization of all 3+1D topological orders for boson systems
Chenchang Zhu, Tian Lan, Xiao-Gang Wen
A discrete non-linear -model is obtained by triangulate both the space-time and the target space . If the path integral is given by the sum of all the complex homom…
Volume and Topological Invariants of Quantum Many-body Systems
Xiao-Gang Wen, Zhenghan Wang
A gapped many-body system is described by path integral on a space-time lattice , which gives rise to a partition function if , a…
A classification of 3+1D bosonic topological orders (II): the case when some point-like excitations are fermions
Tian Lan, Xiao-Gang Wen
In this paper, we classify EF topological orders for 3+1D bosonic systems where some emergent pointlike excitations are fermions. (1) We argue that all 3+1D bosonic topological ord…