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We analyze lattice Hamiltonian systems whose global symmetries have 't Hooft anomalies.
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Global Anomalies on Orbifolds ,
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Quantum Spin Chains and the Haldane Gap ,
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Physica B 975
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Topological approach to Luttinger’s theorem and the Fermi surface of a Kondo lattice ,
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Solvable lattice model for (2+1)D bosonic topological insulator (2020), 2002.01639
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Lieb-Schultz-Mattis theorem and its generalizations from the perspective of the symmetry-protected topological phase ,
C.-M. Jian, Z. Bi and C. Xu, · 2018
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Intrinsic and emergent anomalies at deconfined critical points ,
M. A. Metlitski and R. Thorngren, · 2018
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Gauging spatial symmetries and the classification of topological crystalline phases ,
R. Thorngren and D. V. Else, · 2018
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Lieb–schultz–mattis type theorems for quantum spin chains without continuous symmetry ,
Y. Ogata and H. Tasaki, · 2019
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Anomaly matching and symmetry-protected critical phases in s u ( n ) su(n) spin systems in 1 + 1 1+1 dimensions ,
Y. Yao, C.-T. Hsieh and M. Oshikawa, · 2019
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M. B. Hastings, · 2004
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Entanglement Hamiltonian of the 1+1-dimensional free, compactified boson conformal field theory ,
A. Roy, F. Pollmann and H. Saleur, · 2004
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Non-Fermi liquids as ersatz Fermi liquids: general constraints on compressible metals ,
D. V. Else, R. Thorngren and T. Senthil, · 2007
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Twisted boundary condition and Lieb-Schultz-Mattis ingappability for discrete symmetries ,
Y. Yao and M. Oshikawa, · 2010
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Classification of gapped symmetric phases in one-dimensional spin systems ,
X. Chen, Z.-C. Gu and X.-G. Wen, · 2011
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Two-dimensional symmetry-protected topological orders and their protected gapless edge excitations ,
X. Chen, Z.-X. Liu and X.-G. Wen, · 2011
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C.-M. Chang, Y.-H. Lin, S.-H. Shao, Y. Wang and X. Yin, · 2019
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Anomalies and bounds on charged operators ,
Y.-H. Lin and S.-H. Shao, · 2019
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Quantum phase transitions beyond landau-ginzburg theory in one-dimensional space revisited ,
C. Mudry, A. Furusaki, T. Morimoto and T. Hikihara, · 2019
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Deconfined quantum critical point in one dimension ,
B. Roberts, S. Jiang and O. I. Motrunich, · 2019
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Emergent symmetry and conserved current at a one-dimensional incarnation of deconfined quantum critical point ,
R.-Z. Huang, D.-C. Lu, Y.-Z. You, Z. Y. Meng and T. Xiang, · 2019
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Relative anomaly in ( 1 + 1 1+1 )d rational conformal field theory ,
M. Cheng and D. J. Williamson, · 2020
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General Lieb-Schultz-Mattis Type Theorems for Quantum Spin Chains ,
Y. Ogata, Y. Tachikawa and H. Tasaki, · 2021
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Electric polarization as a nonquantized topological response and boundary luttinger theorem ,
X.-Y. Song, Y.-C. He, A. Vishwanath and C. Wang, · 2021
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Crystalline gauge fields and quantized discrete geometric response for abelian topological phases with lattice symmetry ,
N. Manjunath and M. Barkeshli, · 2021
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Topological characterization of Lieb-Schultz-Mattis constraints and applications to symmetry-enriched quantum criticality (2021), 2111.12097
W. Ye, M. Guo, Y.-C. He, C. Wang and L. Zou, · 2021
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Anomalies in bosonic symmetry-protected topological edge theories: Connection to f f symbols and a method of calculation ,
K. Kawagoe and M. Levin, · 2021
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A modified Villain formulation of fractons and other exotic theories ,
P. Gorantla, H. T. Lam, N. Seiberg and S.-H. Shao, · 2021
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ℤ N \mathbb{Z}_{N} symmetries, anomalies, and the modular bootstrap ,
Y.-H. Lin and S.-H. Shao, · 2021
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The Lieb-Schultz-Mattis Theorem: A Topological Point of View (2022),
H. Tasaki, · 2022
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Nonzero Momentum Requires Long-Range Entanglement ,
L. Gioia and C. Wang, · 2022
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Equivalence of the modified Villain formulation and the dual Hamiltonian method in the duality of the XY-plaquette model (2022),
M. Yoneda, · 2022
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Lattice Quantum Villain Hamiltonians: Compact scalars, U ( 1 ) U(1) gauge theories, fracton models and Quantum Ising model dualities (2022),
L. Fazza and T. Sulejmanpasic, · 2022
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Exactly solvable model for a deconfined quantum critical point in 1d ,
C. Zhang and M. Levin, · 2022
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