177 citations · 2.4k across the 48 of their papers we have counts for
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Unwinding Fermionic SPT Phases: Supersymmetry Extension
Abhishodh Prakash, Juven Wang
We show how 1+1-dimensional fermionic symmetry-protected topological states (SPTs, i.e. nontrivial short-range entangled gapped phases of quantum matter whose boundary exhibits 't…
Boundary supersymmetry of 1+1 d fermionic SPT phases
Abhishodh Prakash, Juven Wang
We prove that the boundaries of all non-trivial 1+1 dimensional intrinsically fermionic symmetry-protected-topological phases, protected by finite on-site symmetries (unitary or an…
An Effective Field Theory for Fractional Quantum Hall Systems near
Po-Shen Hsin, Ying-Hsuan Lin, Natalie M. Paquette +1
We propose an effective field theory (EFT) of fractional quantum Hall systems near the filling fraction that flows to pertinent IR candidate phases, including non-abelian P…
Non-Liquid Cellular States
Juven Wang
The existence of quantum non-liquid states and fracton orders, both gapped and gapless states, challenges our understanding of phases of entangled matter. We generalize the cellula…
Non-Abelian Gauged Fracton Matter Field Theory: New Sigma Models, Superfluids and Vortices
Juven Wang, Shing-Tung Yau
By gauging a higher-moment polynomial degree global symmetry and a discrete charge conjugation (i.e., particle-hole) symmetry coupled to matter fields (two symmetries mutually non-…
Gauge Enhanced Quantum Criticality and Time Reversal Domain Wall: SU(2) Yang-Mills Dynamics with Topological Terms
Juven Wang, Yi-Zhuang You, Yunqin Zheng
We explore the low energy dynamics of the four siblings of Lorentz symmetry enriched SU(2) Yang-Mills theory with a theta term at in d. Due to a mixed anomaly between…
Strong planar subsystem symmetry-protected topological phases and their dual fracton orders
Trithep Devakul, Wilbur Shirley, Juven Wang
We classify subsystem symmetry-protected topological (SSPT) phases in D protected by planar subsystem symmetries, which are dual to abelian fracton topological orders. We dist…
Tunneling Topological Vacua via Extended Operators: (Spin-)TQFT Spectra and Boundary Deconfinement in Various Dimensions
Juven Wang, Kantaro Ohmori, Pavel Putrov +6
Distinct quantum vacua of topologically ordered states can be tunneled into each other via extended operators. The possible applications include condensed matter and quantum cosmol…
Time Reversal, SU(N) Yang-Mills and Cobordisms: Interacting Topological Superconductors/Insulators and Quantum Spin Liquids in 3+1D
Meng Guo, Pavel Putrov, Juven Wang
We introduce a web of strongly correlated interacting 3+1D topological superconductors/insulators of 10 particular global symmetry groups of Cartan classes, realizable in electroni…
Symmetric Gapped Interfaces of SPT and SET States: Systematic Constructions
Juven Wang, Xiao-Gang Wen, Edward Witten
Symmetry protected topological (SPT) states have boundary 't Hooft anomalies that obstruct an effective boundary theory realized in its own dimension with UV completion and an on-s…
Braiding Statistics and Link Invariants of Bosonic/Fermionic Topological Quantum Matter in 2+1 and 3+1 dimensions
Pavel Putrov, Juven Wang, Shing-Tung Yau
Topological Quantum Field Theories (TQFTs) pertinent to some emergent low energy phenomena of condensed matter lattice models in 2+1 and 3+1D are explored. Many of our field theori…
Aspects of Symmetry, Topology and Anomalies in Quantum Matter
Juven C. Wang
In this thesis, we explore the aspects of symmetry, topology and anomalies in quantum matter with entanglement from both condensed matter and high energy theory viewpoints. The foc…
Quantum Statistics and Spacetime Surgery
Juven Wang, Xiao-Gang Wen, Shing-Tung Yau
We apply the geometric-topology surgery theory on spacetime manifolds to study the constraints of quantum statistics data in 2+1 and 3+1 spacetime dimensions. First, we introduce t…
Multi-kink topological terms and charge-binding domain-wall condensation induced symmetry-protected topological states: Beyond Chern-Simons/BF theory
Zheng-Cheng Gu, Juven C. Wang, Xiao-Gang Wen
Quantum-disordering a discrete-symmetry breaking state by condensing domain-walls can lead to a trivial symmetric insulator state. In this work, we show that if we bind a 1D repres…
Twisted Gauge Theory Model of Topological Phases in Three Dimensions
Yidun Wan, Juven Wang, Huan He
We propose an exactly solvable lattice Hamiltonian model of topological phases in dimensions, based on a generic finite group and a -cocycle over . We show that…
Gapped Domain Walls, Gapped Boundaries and Topological Degeneracy
Tian Lan, Juven Wang, Xiao-Gang Wen
Gapped domain walls, as topological line defects between 2+1D topologically ordered states, are examined. We provide simple criteria to determine the existence of gapped domain wal…
Field theory representation of gauge-gravity symmetry-protected topological invariants, group cohomology and beyond
Juven Wang, Zheng-Cheng Gu, Xiao-Gang Wen
The challenge of identifying symmetry-protected topological states (SPTs) is due to their lack of symmetry-breaking order parameters and intrinsic topological orders. For this reas…
Non-Abelian String and Particle Braiding in Topological Order: Modular SL(3,Z) Representation and 3+1D Twisted Gauge Theory
Juven Wang, Xiao-Gang Wen
String and particle braiding statistics are examined in a class of topological orders described by discrete gauge theories with a gauge group and a 4-cocycle twist of …
Bosonic Anomalies, Induced Fractional Quantum Numbers and Degenerate Zero Modes: the anomalous edge physics of Symmetry-Protected Topological States
Juven Wang, Luiz H. Santos, Xiao-Gang Wen
The boundary of symmetry-protected topological states (SPTs) can harbor new quantum anomaly phenomena. In this work, we characterize the bosonic anomalies introduced by the 1+1D no…
Symmetry-protected topological phases with charge and spin symmetries: response theory and dynamical gauge theory in 2D, 3D and the surface of 3D
Peng Ye, Juven Wang
A large class of symmetry-protected topological phases (SPT) in boson / spin systems have been recently predicted by the group cohomology theory. In this work, we consider SPT stat…
Boundary Degeneracy of Topological Order
Juven Wang, Xiao-Gang Wen
We introduce the concept of boundary degeneracy of topologically ordered states on a compact orientable spatial manifold with boundaries, and emphasize that the boundary degeneracy…