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Emergent generalized symmetry and maximal symmetry-topological-order
Arkya Chatterjee, Wenjie Ji, Xiao-Gang Wen
A characteristic property of a gapless liquid state is its emergent symmetry and dual symmetry, associated with the conservation laws of symmetry charges and symmetry defects respe…
Holographic theory for continuous phase transitions -- the emergence and symmetry protection of gaplessness
Arkya Chatterjee, Xiao-Gang Wen
Two global symmetries are holo-equivalent if their algebras of local symmetric operators are isomorphic. Holo-equivalent classes of global symmetries are classified by gappable-bou…
The boundaries of 2+1D fermionic topological orders
Chang-Han Chen, Xiao-Gang Wen
D bosonic topological orders can be characterized by the matrices that encode the statistics of topological excitations. In particular, the matrices can be used to…
Position-Dependent Excitations and UV/IR Mixing in the Rank-2 Toric Code and its Low-Energy Effective Field Theory
Salvatore D. Pace, Xiao-Gang Wen
We investigate how symmetry and topological order are coupled in the d rank-2 toric code for general , which is an exactly solvable point in the Higgs ph…
Reconstruction of modular data from representations
Siu-Hung Ng, Eric C Rowell, Zhenghan Wang +1
Modular data is the most significant invariant of a modular tensor category. We pursue an approach to the classification of modular data of modular tensor categories by building th…
Symmetry as a shadow of topological order and a derivation of topological holographic principle
Arkya Chatterjee, Xiao-Gang Wen
Symmetry is usually defined via transformations described by a (higher) group. But a symmetry really corresponds to an algebra of local symmetric operators, which directly constrai…