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We discuss the exact non-invertible Kramers-Wannier symmetry of 1+1d lattice models on a tensor product Hilbert space of qubits.
1901
Earlier work this paper cites.
1902
Earlier work this paper cites.
1902
Earlier work this paper cites.
M. Levin, Constraints on order and disorder parameters in quantum spin chains
1903
Earlier work this paper cites.
Y.-H. Lin and S.-H. Shao, Anomalies and Bounds on Charged Operators
1904
Earlier work this paper cites.
1907
Earlier work this paper cites.
1909
Earlier work this paper cites.
W. Ji, S.-H. Shao, and X.-G. Wen, Topological Transition on the Conformal Manifold
1909
Earlier work this paper cites.
Y.-H. Lin and S.-H. Shao, Duality Defect of the Monster CFT
1911
Earlier work this paper cites.
R. Thorngren and Y. Wang, Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases
1912
Earlier work this paper cites.
1912
Earlier work this paper cites.
E. Lieb, T. Schultz, and D. Mattis, Two soluble models of an antiferromagnetic chain
1961
Earlier work this paper cites.
L. P. Kadanoff and H. Ceva, Determination of an operator algebra for the two-dimensional ising model
1971
Earlier work this paper cites.
G. ’t Hooft, Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking
1980
Earlier work this paper cites.
I. Affleck and E. H. Lieb, A proof of part of haldane’s conjecture on spin chains
1986
Earlier work this paper cites.
M. Oshikawa, M. Yamanaka, and I. Affleck, Magnetization Plateaus in Spin Chains: “Haldane Gap” for Half-Integer Spins
1987
Earlier work this paper cites.
A. B. Zamolodchikov, Renormalization Group and Perturbation Theory Near Fixed Points in Two-Dimensional Field Theory
1987
Earlier work this paper cites.
E. P. Verlinde, Fusion Rules and Modular Transformations in 2D Conformal Field Theory
1988
Earlier work this paper cites.
hep-th/9108028
P. H. Ginsparg, APPLIED CONFORMAL FIELD THEORY · 1988
Earlier work this paper cites.
G. W. Moore and N. Seiberg, Classical and Quantum Conformal Field Theory
1989
Earlier work this paper cites.
G. W. Moore and N. Seiberg, Taming the Conformal Zoo
1989
Earlier work this paper cites.
I. Affleck, Quantum Spin Chains and the Haldane Gap
1989
Earlier work this paper cites.
G. W. Moore and N. Seiberg, Naturality in Conformal Field Theory
1989
Earlier work this paper cites.
G. W. Moore and N. Seiberg, LECTURES ON RCFT
1989
Earlier work this paper cites.
D. A. Kastor, E. J. Martinec, and S. H. Shenker, RG Flow in N=1 Discrete Series
1989
Earlier work this paper cites.
G. Mussardo, Off-critical statistical models: Factorized scattering theories and bootstrap program
1992
Earlier work this paper cites.
U. Grimm and G. M. Schutz, The Spin 1/2 XXZ Heisenberg chain, the quantum algebra U(q)[sl(2)], and duality transformations for minimal models
1993
Earlier work this paper cites.
B. Durhuus and T. Jonsson, Classification and construction of unitary topological field theories in two-dimensions
1994
Earlier work this paper cites.
M. Oshikawa and I. Affleck, Boundary conformal field theory approach to the critical two-dimensional Ising model with a defect line
1997
Earlier work this paper cites.
M. Yamanaka, M. Oshikawa, and I. Affleck, Nonperturbative Approach to Luttinger’s Theorem in One Dimension
1997
Earlier work this paper cites.
D. Tambara and S. Yamagami, Tensor categories with fusion rules of self-duality for finite abelian groups
1998
Earlier work this paper cites.
M. Oshikawa, Topological approach to Luttinger’s theorem and the Fermi surface of a Kondo lattice
2000
Earlier work this paper cites.
M. Oshikawa, Commensurability, excitation gap, and topology in quantum many-particle systems on a periodic lattice
2000
Earlier work this paper cites.
D. Tambara, Representations of tensor categories with fusion rules of self-duality for abelian groups
2000
Earlier work this paper cites.
V. B. Petkova and J. B. Zuber, Generalized twisted partition functions
2001
Earlier work this paper cites.
J. Fuchs, I. Runkel, and C. Schweigert, TFT construction of RCFT correlators 1. Partition functions
2002
Earlier work this paper cites.
C.-T. Hsieh, Y. Nakayama, and Y. Tachikawa, Fermionic minimal models
2002
Earlier work this paper cites.
J. Frohlich, J. Fuchs, I. Runkel, and C. Schweigert, Kramers-Wannier duality from conformal defects
2004
Earlier work this paper cites.
F. Verstraete, J. J. García-Ripoll, and J. I. Cirac, Matrix product density operators: Simulation of finite-temperature and dissipative systems
2004
Earlier work this paper cites.
M. Zwolak and G. Vidal, Mixed-state dynamics in one-dimensional quantum lattice systems: A time-dependent superoperator renormalization algorithm
2004
Earlier work this paper cites.
J. Fuchs, I. Runkel, and C. Schweigert, TFT construction of RCFT correlators. 2. Unoriented world sheets
2004
Earlier work this paper cites.
J. Fuchs, I. Runkel, and C. Schweigert, TFT construction of RCFT correlators. 3. Simple currents
2004
Earlier work this paper cites.
M. B. Hastings, Lieb-Schultz-Mattis in Higher Dimensions
2004
Earlier work this paper cites.
J. Fuchs, I. Runkel, and C. Schweigert, TFT construction of RCFT correlators IV: Structure constants and correlation functions
2005
Earlier work this paper cites.
2005
Earlier work this paper cites.
J. Fjelstad, J. Fuchs, I. Runkel, and C. Schweigert, TFT construction of RCFT correlators. V. Proof of modular invariance and factorisation
2006
Cited alongside, same era.
A. Kitaev, Anyons in an exactly solved model and beyond
2006
Cited alongside, same era.
J. Frohlich, J. Fuchs, I. Runkel, and C. Schweigert, Duality and defects in rational conformal field theory
2007
Cited alongside, same era.
B. Nachtergaele and R. Sims, A multi-dimensional lieb-schultz-mattis theorem
2007
Cited alongside, same era.
A. Feiguin, S. Trebst, A. W. W. Ludwig, M. Troyer, A. Kitaev, Z. Wang, and M. H. Freedman, Interacting anyons in topological quantum liquids: The golden chain
2007
Cited alongside, same era.
2018
Later among the works it cites.
C.-M. Jian, Z. Bi, and C. Xu, Lieb-Schultz-Mattis theorem and its generalizations from the perspective of the symmetry-protected topological phase
2018
Later among the works it cites.
2018
Later among the works it cites.
T. Numasawa and S. Yamaguchi, Mixed global anomalies and boundary conformal field theories
2018
Later among the works it cites.
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V. M. F. Verstraete and J. Cirac, Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems
2008
Cited alongside, same era.
2008
Cited alongside, same era.
2008
Cited alongside, same era.
2008
Cited alongside, same era.
J. Frohlich, J. Fuchs, I. Runkel, and C. Schweigert, Defect lines, dualities, and generalised orbifolds · 2009
Cited alongside, same era.
S. Trebst, M. Troyer, Z. Wang, and A. W. W. Ludwig, A short introduction to Fibonacci anyon models
2009
Cited alongside, same era.
2010
Cited alongside, same era.
2019
Later among the works it cites.
W. W. Ho and T. H. Hsieh, Efficient variational simulation of non-trivial quantum states
2019
Later among the works it cites.
M. Cheng, Fermionic Lieb-Schultz-Mattis theorems and weak symmetry-protected phases
2019
Later among the works it cites.
Y. Ogata and H. Tasaki, Lieb–schultz–mattis type theorems for quantum spin chains without continuous symmetry
2019
Later among the works it cites.
Y. Tachikawa, “TASI 2019 Lectures.” https://member.ipmu.jp/yuji.tachikawa/lectures/2019-top-anom
2019
Later among the works it cites.
N. Manjunath and M. Barkeshli, “Classification of fractional quantum Hall states with spatial symmetries.” 12, 2020
2020
Later among the works it cites.
S. Bachmann, A. Bols, W. De Roeck, and M. Fraas, A many-body index for quantum charge transport
2020
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R. Thorngren, Anomalies and Bosonization
2020
Later among the works it cites.
X.-Y. Song, Y.-C. He, A. Vishwanath, and C. Wang, Electric polarization as a nonquantized topological response and boundary luttinger theorem
2021
Later among the works it cites.
N. Manjunath and M. Barkeshli, Crystalline gauge fields and quantized discrete geometric response for abelian topological phases with lattice symmetry
2021
Later among the works it cites.
W. Ye, M. Guo, Y.-C. He, C. Wang, and L. Zou, “Topological characterization of Lieb-Schultz-Mattis constraints and applications to symmetry-enriched quantum criticality.” 11, 2021
2021
Later among the works it cites.
Y. Ogata, Y. Tachikawa, and H. Tasaki, General Lieb-Schultz-Mattis Type Theorems for Quantum Spin Chains
2021
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O. M. Aksoy, A. Tiwari, and C. Mudry, Lieb-schultz-mattis type theorems for majorana models with discrete symmetries
2021
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2021
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Y.-H. Lin and S.-H. Shao, ℤ N \mathbb{Z}_{N} symmetries, anomalies, and the modular bootstrap
2021
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2021
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D. Delmastro, D. Gaiotto, and J. Gomis, Global anomalies on the Hilbert space
2021
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Y. Fukusumi, Y. Tachikawa, and Y. Zheng, Fermionization and boundary states in 1+1 dimensions
2021
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H. Ebisu and M. Watanabe, Fermionization of conformal boundary states
2021
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2021
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C. Cordova, T. T. Dumitrescu, K. Intriligator, and S.-H. Shao, Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond · 2022
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L. Gioia and C. Wang, Nonzero Momentum Requires Long-Range Entanglement
2022
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2022
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K. Inamura, On lattice models of gapped phases with fusion category symmetries
2022
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Y. Choi, H. T. Lam, and S.-H. Shao, Noninvertible Global Symmetries in the Standard Model
2022
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