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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.
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Statistical Physics - Course of Theoretical Physics Vol 5
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Statistical Physics - Course of Theoretical Physics Vol 5
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Confinement of Quarks
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The renormalization group: Critical phenomena and the kondo problem
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Solitons with Fermion Number 1/2
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Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking
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Absence of Neutrinos on a Lattice. 1. Proof by Homotopy Theory
Holger Bech Nielsen and M. Ninomiya · 1981
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Fractional Quantum Numbers on Solitons
Jeffrey Goldstone and Frank Wilczek · 1981
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Absence of Neutrinos on a Lattice. 2. Intuitive Topological Proof
Holger Bech Nielsen and M. Ninomiya · 1981
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No Go Theorem for Regularizing Chiral Fermions
Holger Bech Nielsen and M. Ninomiya · 1981
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Dynamical Gauge Symmetry Breaking. A Collection Of Reprints
E. Farhi and R. Jackiw · 1982
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Two-dimensional magnetotransport in the extreme quantum limit
D. C. Tsui, H. L. Stormer, and A. C. Gossard · 1982
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A Remnant of Chiral Symmetry on the Lattice
Paul H. Ginsparg and Kenneth G. Wilson · 1982
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Quantized Hall Conductance in a Two-Dimensional Periodic Potential
D.J. Thouless, M. Kohmoto, M.P. Nightingale, and M. den Nijs · 1982
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Anomalous quantum hall effect: An incompressible quantum fluid with fractionally charged excitations
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Continuum dynamics of the 1-D heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model
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Appearance of Gauge Structure in Simple Dynamical Systems
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GLOBAL GRAVITATIONAL ANOMALIES
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Chiral gauge theories on the lattice
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Aspects of Symmetry
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Topological Gauge Theories and Group Cohomology
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A Method for Simulating Chiral Fermions on the Lattice
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Mirror fermions in chiral gauge theories
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Decoupling a Fermion Whose Mass Comes from a Yukawa Coupling: Nonperturbative Considerations
T. Banks and A. Dabholkar · 1992
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Ground state structure of hierarchical QH states on torus and modular transformation
E. Keski-Vakkuri and Xiao-Gang Wen · 1993
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Chiral fermions from lattice boundaries
Y. Shamir · 1993
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Absence of Chiral Fermions in the Eichten–Preskill Model
M. Golterman, D. Petcher, and E. Rivas · 1993
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Nondecoupling of Heavy Mirror-Fermion
L. Lin · 1994
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Quasiparticle statistics and braiding from ground-state entanglement
Y. Zhang, T. Grover, A. Turner, M. Oshikawa, and A. Vishwanath · 2012
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Braiding statistics approach to symmetry-protected topological phases
M. Levin and Z.-C. Gu · 2012
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Chiral symmetry on the edge of 2D symmetry protected topological phases
Xie Chen and Xiao-Gang Wen · 2012
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Symmetry-protected topological orders and the cohomology class of their symmetry group
Xie Chen, Zheng-Cheng Gu, Zheng-Xin Liu, and Xiao-Gang Wen · 2013
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Universal symmetry-protected topological invariants for symmetry-protected topological states
L.-Y. Hung and X.-G. Wen · 2013
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Beyond Band Insulators: Topology of Semi-metals and Interacting Phases
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Diverse topics in theoretical and mathematical physics
R. Jackiw · 1995
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Topological interactions in broken gauge theories
Mark Dirk Frederik de Wild Propitius · 1995
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Spontaneously broken Abelian Chern-Simons theories
Mark de Wild Propitius · 1997
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Lecture notes for physics 229: Quantum information and computation
John Preskill · 1998
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Exactly massless quarks on the lattice
Herbert Neuberger · 1998
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More about exactly massless quarks on the lattice
Herbert Neuberger · 1998
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A. M. Turner and A. Vishwanath · 2013
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Classifying gauge anomalies through symmetry-protected trivial orders and classifying gravitational anomalies through topological orders
Xiao-Gang Wen · 2013
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A Lattice Non-Perturbative Hamiltonian Construction of 1+1D Anomaly-Free Chiral Fermions and Bosons - on the equivalence of the anomaly matching conditions and the boundary fully gapping rules
Juven Wang and Xiao-Gang Wen · 2013
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Symmetry-protected topological phases with charge and spin symmetries: Response theory and dynamical gauge theory in two and three dimensions
Peng Ye and Juven Wang · 2013
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Protected edge modes without symmetry
Michael Levin · 2013
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Classification of symmetry enriched topological phases with exactly solvable models
Andrej Mesaros and Ying Ran · 2013
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Twisted quantum double model of topological phases in two dimensions
Yuting Hu, Yidun Wan, and Yong-Shi Wu · 2013
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Symmetry-protected topological phases and orbifolds: Generalized Laughlin’s argument
O. M. Sule, X. Chen, and S. Ryu · 2013
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On the decoupling of mirror fermions
C. Chen, J. Giedt, and E. Poppitz · 2013
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A lattice non-perturbative definition of an SO(10) chiral gauge theory and its induced standard model
Xiao-Gang Wen · 2013
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Twisted quantum double model of topological phases in two dimensions
Y. Hu, Y. Wan, and Y.-S. Wu · 2013
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Symmetry-protected topological invariants of symmetry-protected topological phases of interacting bosons and fermions
X.-G. Wen · 2014
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Symmetry Protected Topological phases of Quantum Matter
T. Senthil · 2014
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Braided fusion categories, gravitational anomalies, and the mathematical framework for topological orders in any dimensions
Liang Kong and Xiao-Gang Wen · 2014
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Bosonic Anomalies, Induced Fractional Quantum Numbers and Degenerate Zero Modes: the anomalous edge physics of Symmetry-Protected Topological States
Juven Wang, Luiz H. Santos, and Xiao-Gang Wen · 2014
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Symmetry-protected many-body Aharonov-Bohm effect
Luiz H. Santos and Juven Wang · 2014
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Twisted Gauge Theory Model of Topological Phases in Three Dimensions
Yidun Wan, Juven C. Wang, and Huan He · 2014
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Braiding statistics of loop excitations in three dimensions
Chenjie Wang and Michael Levin · 2014
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Generalized Modular Transformations in (3+1)D Topologically Ordered Phases and Triple Linking Invariant of Loop Braiding
Shenghan Jiang, Andrej Mesaros, and Ying Ran · 2014
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Universal wave function overlap and universal topological data from generic gapped ground states
Heidar Moradi and Xiao-Gang Wen · 2014
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Anomalies of discrete symmetries in three dimensions and group cohomology
Anton Kapustin and Ryan Thorngren · 2014
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Anomalies of discrete symmetries in various dimensions and group cohomology
Anton Kapustin and Ryan Thorngren · 2014
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Short-range entanglement and invertible field theories
Daniel S. Freed · 2014
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Symmetry Protected Topological Phases, Anomalies, and Cobordisms: Beyond Group Cohomology
A. Kapustin · 2014
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Bosonic Topological Insulators and Paramagnets: A view from cobordisms
A. Kapustin · 2014
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Topological quasiparticles and the holographic bulk-edge relation in (2+1) -dimensional string-net models
Tian Lan and Xiao-Gang Wen · 2014
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Braiding statistics of loop excitations in three dimensions
C. Wang and M. Levin · 2014
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Generalized modular transformations in 3+1D topologically ordered phases and triple linking invariant of loop braiding
S. Jiang, A. Mesaros, and Y. Ran · 2014
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Symmetry-protected topological phases, generalized Laughlin argument, and orientifolds
C.-T. Hsieh, O. M. Sule, G. Y. Cho, S. Ryu, and R. G. Leigh · 2014
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Interacting Topological Superconductors and possible Origin of
Yizhuang You, Yoni BenTov, and Cenke Xu · 2014
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Field-Theory Representation of Gauge-Gravity Symmetry-Protected Topological Invariants, Group Cohomology, and Beyond
Juven C. Wang, Z.-C. Gu, and X.-G. Wen · 2015
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Non-Abelian string and particle braiding in topological order: Modular SL(3,
Juven Wang and Xiao-Gang Wen · 2015
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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, and Xiao-Gang Wen · 2015
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Boundary Degeneracy of Topological Order
Juven Wang and Xiao-Gang Wen · 2015
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Gapped Domain Walls, Gapped Boundaries and Topological Degeneracy
Tian Lan, Juven C. Wang, and Xiao-Gang Wen · 2015
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Field theory representation of gauge-gravity symmetry-protected topological invariants, group cohomology and beyond
Juven C. Wang, Zheng-Cheng Gu, and Xiao-Gang Wen · 2015
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Universal Topological Data for Gapped Quantum Liquids in Three Dimensions and Fusion Algebra for Non-Abelian String Excitations
Heidar Moradi and Xiao-Gang Wen · 2015
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