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Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions
Wenjie Ji, Xiao-Gang Wen
For a zero-temperature Landau symmetry breaking transition in -dimensional space that completely breaks a finite symmetry , the critical point at the transition has the symme…
Metallic states beyond Tomonaga-Luttinger liquids in one dimension
Wenjie Ji, Xiao-Gang Wen
In this paper, we propose some new strongly correlated gapless states (or critical states) of spin-1/2 electrons in 1+1-dimensions, such as doped anti-ferromagnetic spin-1/2 Ising…
Gapped domain walls between 2+1D topologically ordered states
Tian Lan, Xueda Wen, Liang Kong +1
The 2+1D topological order can be characterized by the mapping-class-group representations for Riemann surfaces of genus-1, genus-2, etc. In this paper, we use those representation…
Topological Transition on the Conformal Manifold
Wenjie Ji, Shu-Heng Shao, Xiao-Gang Wen
Despite great successes in the study of gapped phases, a comprehensive understanding of the gapless phases and their transitions is still under developments. In this paper, we stud…
Distinguish modular categories and 2+1D topological orders beyond modular data: Mapping class group of higher genus manifold
Xueda Wen, Xiao-Gang Wen
It was believed that modular data are enough to distinguish different modular categories (and topological orders in 2+1-dimensions). Then counterexamples to this conjecture were fo…
Lattice models that realize -1-symmetry protected topological states for even
Lokman Tsui, Xiao-Gang Wen
Higher symmetries can emerge at low energies in a topologically ordered state with no symmetry, when some topological excitations have very high energy scales while other topologic…