156 citations · 1.3k across the 31 of their papers we have counts for
4 papers · 1 filter
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 (…
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…
A Classification of (2+1)D Topological Phases with Symmetries
Tian Lan
This thesis aims at concluding the classification results for topological phases with symmetry in 2+1 dimensions. The main result is that topological phases are classified by a tri…
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…