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Universal symmetry-protected topological invariants for symmetry-protected topological states
Ling-Yan Hung, Xiao-Gang Wen
Symmetry-protected topological (SPT) states are short-range entangled states with a symmetry G. They belong to a new class of quantum states of matter which are classified by the g…
Topological quasiparticles and the holographic bulk-edge relation in 2+1D string-net models
Tian Lan, Xiao-Gang Wen
String-net models allow us to systematically construct and classify 2+1D topologically ordered states which can have gapped boundaries. We can use a simple ideal string-net wavefun…
Lattice Model for Fermionic Toric Code
Zheng-Cheng Gu, Zhenghan Wang, Xiao-Gang Wen
The Z_2 topological order in Z_2 spin liquid and in exactly soluble Kitaev toric code model is the simplest topological order for 2+1D bosonic systems. More general 2+1D bosonic to…
Non-Perturbative Regularization of 1+1D Anomaly-Free Chiral Fermions and Bosons: On the equivalence of anomaly matching conditions and boundary gapping rules
Juven Wang, Xiao-Gang Wen
A non-perturbative lattice regularization of chiral fermions and bosons with anomaly-free symmetry in 1+1D spacetime is proposed. More precisely, we ask "whether there is a loc…
Superconductivity with intrinsic topological order induced by pure Coulomb interaction and time-reversal symmetry breaking
Evelyn Tang, Xiao-Gang Wen
Recently, in certain flat band lattice systems at commensurate fillings, fractional quantum Hall states have been found -- which have anyonic excitations. We study such systems awa…
A lattice non-perturbative definition of an SO(10) chiral gauge theory and its induced standard model
Xiao-Gang Wen
The standard model is a chiral gauge theory where the gauge fields couple to the right-hand and the left-hand fermions differently. The standard model is defined perturbatively and…