2.1k citations · 27.7k across the 228 of their papers we have counts for
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Topological Mott Insulators and Discontinuous -Terms
Michael A. DeMarco, Ethan Lake, Xiao-Gang Wen
We introduce a lattice field theory that describes the transition between a superfluid (SF) and a bosonic topological Mott Insulator (tMI) -- a symmetry protected topologica…
3+1d Boundaries with Gravitational Anomaly of 4+1d Invertible Topological Order for Branch-Independent Bosonic Systems
Zheyan Wan, Juven Wang, Xiao-Gang Wen
We study bosonic systems on a spacetime lattice defined by path integrals of commuting fields. We introduce branch-independent bosonic (BIB) systems, whose path integral is indepen…
One dimensional gapped quantum phases and enriched fusion categories
Liang Kong, Xiao-Gang Wen, Hao Zheng
In this work, we use Ising chain and Kitaev chain to check the validity of an earlier proposal in arXiv:2011.02859 that enriched fusion (higher) categories provide a unified catego…
A unified view on symmetry, anomalous symmetry and non-invertible gravitational anomaly
Wenjie Ji, Xiao-Gang Wen
In this paper, using 1+1D models as examples, we study symmetries and anomalous symmetries via multi-component partition functions obtained through symmetry twists, and their trans…
A Commuting Projector Model with a Non-zero Quantized Hall conductance
Michael DeMarco, Xiao-Gang Wen
By ungauging a recently discovered lattice rotor model for Chern-Simons theory, we create an exactly soluble path integral on spacetime lattice for Symmetry Protected Topo…
Low energy effective field theories of fermion liquids and mixed anomaly
Xiao-Gang Wen
In this paper we study gapless fermionic and bosonic systems in -dimensional continuum space with particle-number conservation and translation symmetry. We…