Built on

N. Sogabe and N. Yamamoto, “Triangle Anomalies and Nonrelativistic Nambu-Goldstone Modes of Generalized Global Symmetries,” Phys. Rev
Original
1903
Earlier work this paper cites.
Z. Wan, J. Wang, and Y. Zheng, “Quantum 4d Yang-Mills Theory and Time-Reversal Symmetric 5d Higher-Gauge Topological Field Theory,” Phys. Rev. D
Original
1904
Earlier work this paper cites.
C. Córdova, D. S. Freed, H. T. Lam, and N. Seiberg, “Anomalies in the Space of Coupling Constants and Their Dynamical Applications I,” SciPost Phys
Original
1905
Earlier work this paper cites.
D. V. Else and R. Thorngren, “Topological theory of Lieb-Schultz-Mattis theorems in quantum spin systems,” Phys. Rev. B
Original
1907
Earlier work this paper cites.
L. V. Delacretaz, D. M. Hofman, and G. Mathys, “Superfluids as Higher-form Anomalies,” 1908.06977
Original
1908
Earlier work this paper cites.
L. Tsui and X.-G. Wen, “Lattice models that realize ℤ n \mathbb{Z}_{n} -1-symmetry-protected topological states for even n n ,” Phys. Rev. B
Original
1908
Earlier work this paper cites.
A. Cherman, T. Jacobson, Y. Tanizaki, and M. Ünsal, “Anomalies, a mod 2 index, and dynamics of 2d adjoint QCD,” SciPost Phys
Original
1908
Earlier work this paper cites.
N. Seiberg, “Field Theories With a Vector Global Symmetry,” SciPost Phys
Original
1909
Earlier work this paper cites.
S. R. Coleman and E. J. Weinberg, “Radiative Corrections as the Origin of Spontaneous Symmetry Breaking,” Phys. Rev
1910
Earlier work this paper cites.
C. Córdova and K. Ohmori, “Anomaly Obstructions to Symmetry Preserving Gapped Phases,” 1910.04962
Original
1910
Earlier work this paper cites.
Z. Bi, E. Lake, and T. Senthil, “Landau ordering phase transitions beyond the Landau paradigm,” Phys. Rev. Res
Original
1910
Earlier work this paper cites.
L. M. Vasiloiu, T. H. Oakes, F. Carollo, and J. P. Garrahan, “Trajectory phase transitions in noninteracting spin systems,” Physical Review E
Original
1911
Earlier work this paper cites.
Y.-H. Lin and S.-H. Shao, “Duality Defect of the Monster CFT,” J. Phys. A
Original
1911
Earlier work this paper cites.
R. Thorngren and Y. Wang, “Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases,” 1912.02817
Original
1912
Earlier work this paper cites.
W. Ji and X.-G. Wen, “Categorical symmetry and noninvertible anomaly in symmetry-breaking and topological phase transitions,” Phys. Rev. Res
Original
1912
Earlier work this paper cites.
J. Haah, “Local stabilizer codes in three dimensions without string logical operators,” Phys. Rev. A
Original
1962
Earlier work this paper cites.
F. J. Wegner, “Duality in Generalized Ising Models and Phase Transitions without Local Order Parameters,” Journal of Mathematical Physics
1971
Earlier work this paper cites.
L. P. Kadanoff and H. Ceva, “Determination of an operator algebra for the two-dimensional Ising model,” Physical Review B
1971
Earlier work this paper cites.
S. Elitzur, “Impossibility of spontaneously breaking local symmetries,” Phys. Rev. D
1975
Earlier work this paper cites.
A. Polyakov, “Quark confinement and topology of gauge theories,” Nuclear Physics B
1977
Earlier work this paper cites.
M. E. Peskin, “Mandelstam ’t Hooft Duality in Abelian Lattice Models,” Annals Phys
1978
Earlier work this paper cites.
D. Forster, H. B. Nielsen, and M. Ninomiya, “Dynamical Stability of Local Gauge Symmetry: Creation of Light from Chaos,” Phys. Lett. B
1980
Earlier work this paper cites.
T. Banks, “The Gaussian transformation converts lattice gauge theory into a field theory of strings,” Phys. Lett. B
1980
Earlier work this paper cites.
J. L. Cardy, “UNIVERSAL PROPERTIES OF U(1) GAUGE THEORIES,” Nucl. Phys. B
1980
Earlier work this paper cites.
G. ’t Hooft, “Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking,” NATO Adv.Study Inst.Ser.B Phys
1980
Earlier work this paper cites.
C. Dasgupta and B. I. Halperin, “Phase Transition in a Lattice Model of Superconductivity,” Phys. Rev. Lett
1981
Earlier work this paper cites.
T. Yoneya, “A Path Functional Field Theory of Lattice Gauge Models and the Large N N Limit,” Nucl. Phys. B
1981
Earlier work this paper cites.
A. A. Migdal, “Loop equations and 1 / N 1/N expansion,” Physics Reports
1983
Earlier work this paper cites.
A. M. Polyakov, “Gauge Fields and Strings,” Contemp. Concepts Phys
1987
Earlier work this paper cites.
S.-J. Rey, “The Higgs Mechanism for Kalb-ramond Gauge Field,” Phys. Rev. D
1989
Earlier work this paper cites.
X. Qiu, R. Joynt, and A. MacDonald, “Phases of the multiple quantum well in a strong magnetic field: Possibility of irrational charge,” Physical Review B
1989
Earlier work this paper cites.
X. G. Wen, “Topological orders in rigid states,” Int. J. Mod. Phys. B
1990
Earlier work this paper cites.
X.-G. Wen and A. Zee, “Classification of Abelian quantum Hall states and matrix formulation of topoological fluids,” Phys. Rev. B
1992
Earlier work this paper cites.
A. Kovner and B. Rosenstein, “New look at QED in four-dimensions: The Photon as a Goldstone boson and the topological interpretation of electric charge,” Phys. Rev. D
1994
Earlier work this paper cites.
N. Seiberg, “Electric - magnetic duality in supersymmetric nonAbelian gauge theories,” Nucl. Phys. B
1995
Earlier work this paper cites.
A. Zee, “Quantum Hall fluids,” Lect.Notes Phys
1995
Earlier work this paper cites.
M. Newman and C. Moore, “Glassy dynamics and aging in an exactly solvable spin model,” Physical Review E
1999
Earlier work this paper cites.
M. Oshikawa, “Topological Approach to Luttinger’s Theorem and the Fermi Surface of a Kondo Lattice,” Phys. Rev. Lett
2000
Earlier work this paper cites.
J. D. Naud, L. P. Pryadko, and S. L. Sondhi, “Fractional Quantum Hall Effect in Infinite-Layer Systems,” Phys. Rev. Lett
2000
Earlier work this paper cites.
M. Pretko, X. Chen, and Y. You, “Fracton phases of matter,” International Journal of Modern Physics A
Original
2001
Earlier work this paper cites.
E. Dennis, A. Kitaev, A. Landahl, and J. Preskill, “Topological quantum memory,” J. Math. Phys
2002
Earlier work this paper cites.
A. Paramekanti, L. Balents, and M. P. Fisher, “Ring exchange, the exciton Bose liquid, and bosonization in two dimensions,” Phys. Rev. B
2002
Earlier work this paper cites.
N. Iqbal and J. McGreevy, “Toward a 3d Ising model with a weakly-coupled string theory dual,” SciPost Phys
Original
2003
Earlier work this paper cites.
A. Y. Kitaev, “Fault-tolerant quantum computation by anyons,” Annals of Physics
2003
Earlier work this paper cites.

Similar

N. Seiberg and S.-H. Shao, “Exotic Symmetries, Duality, and Fractons in 2+1-Dimensional Quantum Field Theory,” SciPost Phys
Original
2003
Cited alongside, same era.
J. C. Baez and A. D. Lauda, “Higher-Dimensional Algebra V: 2-Groups,” arXiv Mathematics e-prints
2003
Cited alongside, same era.
M. Vettorazzo and P. de Forcrand, “Electromagnetic fluxes, monopoles, and the order of the 4-d compact U(1) phase transition,” Nucl. Phys. B
2004
Cited alongside, same era.
M. B. Hastings, “Lieb-Schultz-Mattis in higher dimensions,” Phys. Rev. B
2004
Cited alongside, same era.
N. Seiberg and S.-H. Shao, “Exotic U ⁡ ( 1 ) U(1) Symmetries, Duality, and Fractons in 3+1-Dimensional Quantum Field Theory,” SciPost Phys
Original
2004
Cited alongside, same era.

Then

D. Aasen, R. S. K. Mong, and P. Fendley, “Topological Defects on the Lattice I: The Ising model,” J. Phys. A
Original
2016
Later among the works it cites.
E. Fradkin, “Disorder Operators and their Descendants,” J. Statist. Phys
Original
2017
Later among the works it cites.
M. Pretko, “Subdimensional Particle Structure of Higher Rank U(1) Spin Liquids,” Phys. Rev. B
Original
2017
Later among the works it cites.
K. Slagle and Y. B. Kim, “Quantum Field Theory of X-Cube Fracton Topological Order and Robust Degeneracy from Geometry,” Phys. Rev. B
Original
2017
Later among the works it cites.
C. Wang, A. Nahum, M. A. Metlitski, C. Xu, and T. Senthil, “Deconfined quantum critical points: symmetries and dualities,” Phys. Rev. X

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

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Reading the bibliography…

2022

Generalized Symmetries in Condensed Matter

McGreevy, John

Understand

Recent advances in our understanding of symmetry in quantum many-body systems offer the possibility of a generalized Landau paradigm that encompasses all equilibrium phases of matter.

This is a brief and elementary review of some of these developments.

Built on

N. Sogabe and N. Yamamoto, “Triangle Anomalies and Nonrelativistic Nambu-Goldstone Modes of Generalized Global Symmetries,” Phys. Rev
Original
1903
Earlier work this paper cites.
Z. Wan, J. Wang, and Y. Zheng, “Quantum 4d Yang-Mills Theory and Time-Reversal Symmetric 5d Higher-Gauge Topological Field Theory,” Phys. Rev. D
Original
1904
Earlier work this paper cites.
C. Córdova, D. S. Freed, H. T. Lam, and N. Seiberg, “Anomalies in the Space of Coupling Constants and Their Dynamical Applications I,” SciPost Phys
Original
1905
Earlier work this paper cites.
D. V. Else and R. Thorngren, “Topological theory of Lieb-Schultz-Mattis theorems in quantum spin systems,” Phys. Rev. B
Original
1907
Earlier work this paper cites.
L. V. Delacretaz, D. M. Hofman, and G. Mathys, “Superfluids as Higher-form Anomalies,” 1908.06977
Original
1908
Earlier work this paper cites.
L. Tsui and X.-G. Wen, “Lattice models that realize ℤ n \mathbb{Z}_{n} -1-symmetry-protected topological states for even n n ,” Phys. Rev. B
Original
1908
Earlier work this paper cites.
A. Cherman, T. Jacobson, Y. Tanizaki, and M. Ünsal, “Anomalies, a mod 2 index, and dynamics of 2d adjoint QCD,” SciPost Phys
Original
1908
Earlier work this paper cites.
N. Seiberg, “Field Theories With a Vector Global Symmetry,” SciPost Phys
Original
1909
Earlier work this paper cites.
S. R. Coleman and E. J. Weinberg, “Radiative Corrections as the Origin of Spontaneous Symmetry Breaking,” Phys. Rev
1910
Earlier work this paper cites.
C. Córdova and K. Ohmori, “Anomaly Obstructions to Symmetry Preserving Gapped Phases,” 1910.04962
Original
1910
Earlier work this paper cites.
Z. Bi, E. Lake, and T. Senthil, “Landau ordering phase transitions beyond the Landau paradigm,” Phys. Rev. Res
Original
1910
Earlier work this paper cites.
L. M. Vasiloiu, T. H. Oakes, F. Carollo, and J. P. Garrahan, “Trajectory phase transitions in noninteracting spin systems,” Physical Review E
Original
1911
Earlier work this paper cites.
Y.-H. Lin and S.-H. Shao, “Duality Defect of the Monster CFT,” J. Phys. A
Original
1911
Earlier work this paper cites.
R. Thorngren and Y. Wang, “Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases,” 1912.02817
Original
1912
Earlier work this paper cites.
W. Ji and X.-G. Wen, “Categorical symmetry and noninvertible anomaly in symmetry-breaking and topological phase transitions,” Phys. Rev. Res
Original
1912
Earlier work this paper cites.
J. Haah, “Local stabilizer codes in three dimensions without string logical operators,” Phys. Rev. A
Original
1962
Earlier work this paper cites.
F. J. Wegner, “Duality in Generalized Ising Models and Phase Transitions without Local Order Parameters,” Journal of Mathematical Physics
1971
Earlier work this paper cites.
L. P. Kadanoff and H. Ceva, “Determination of an operator algebra for the two-dimensional Ising model,” Physical Review B
1971
Earlier work this paper cites.
S. Elitzur, “Impossibility of spontaneously breaking local symmetries,” Phys. Rev. D
1975
Earlier work this paper cites.
A. Polyakov, “Quark confinement and topology of gauge theories,” Nuclear Physics B
1977
Earlier work this paper cites.
M. E. Peskin, “Mandelstam ’t Hooft Duality in Abelian Lattice Models,” Annals Phys
1978
Earlier work this paper cites.
D. Forster, H. B. Nielsen, and M. Ninomiya, “Dynamical Stability of Local Gauge Symmetry: Creation of Light from Chaos,” Phys. Lett. B
1980
Earlier work this paper cites.
T. Banks, “The Gaussian transformation converts lattice gauge theory into a field theory of strings,” Phys. Lett. B
1980
Earlier work this paper cites.
J. L. Cardy, “UNIVERSAL PROPERTIES OF U(1) GAUGE THEORIES,” Nucl. Phys. B
1980
Earlier work this paper cites.
G. ’t Hooft, “Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking,” NATO Adv.Study Inst.Ser.B Phys
1980
Earlier work this paper cites.
C. Dasgupta and B. I. Halperin, “Phase Transition in a Lattice Model of Superconductivity,” Phys. Rev. Lett
1981
Earlier work this paper cites.
T. Yoneya, “A Path Functional Field Theory of Lattice Gauge Models and the Large N N Limit,” Nucl. Phys. B
1981
Earlier work this paper cites.
A. A. Migdal, “Loop equations and 1 / N 1/N expansion,” Physics Reports
1983
Earlier work this paper cites.
A. M. Polyakov, “Gauge Fields and Strings,” Contemp. Concepts Phys
1987
Earlier work this paper cites.
S.-J. Rey, “The Higgs Mechanism for Kalb-ramond Gauge Field,” Phys. Rev. D
1989
Earlier work this paper cites.
X. Qiu, R. Joynt, and A. MacDonald, “Phases of the multiple quantum well in a strong magnetic field: Possibility of irrational charge,” Physical Review B
1989
Earlier work this paper cites.
X. G. Wen, “Topological orders in rigid states,” Int. J. Mod. Phys. B
1990
Earlier work this paper cites.
X.-G. Wen and A. Zee, “Classification of Abelian quantum Hall states and matrix formulation of topoological fluids,” Phys. Rev. B
1992
Earlier work this paper cites.
A. Kovner and B. Rosenstein, “New look at QED in four-dimensions: The Photon as a Goldstone boson and the topological interpretation of electric charge,” Phys. Rev. D
1994
Earlier work this paper cites.
N. Seiberg, “Electric - magnetic duality in supersymmetric nonAbelian gauge theories,” Nucl. Phys. B
1995
Earlier work this paper cites.
A. Zee, “Quantum Hall fluids,” Lect.Notes Phys
1995
Earlier work this paper cites.
M. Newman and C. Moore, “Glassy dynamics and aging in an exactly solvable spin model,” Physical Review E
1999
Earlier work this paper cites.
M. Oshikawa, “Topological Approach to Luttinger’s Theorem and the Fermi Surface of a Kondo Lattice,” Phys. Rev. Lett
2000
Earlier work this paper cites.
J. D. Naud, L. P. Pryadko, and S. L. Sondhi, “Fractional Quantum Hall Effect in Infinite-Layer Systems,” Phys. Rev. Lett
2000
Earlier work this paper cites.
M. Pretko, X. Chen, and Y. You, “Fracton phases of matter,” International Journal of Modern Physics A
Original
2001
Earlier work this paper cites.
E. Dennis, A. Kitaev, A. Landahl, and J. Preskill, “Topological quantum memory,” J. Math. Phys
2002
Earlier work this paper cites.
A. Paramekanti, L. Balents, and M. P. Fisher, “Ring exchange, the exciton Bose liquid, and bosonization in two dimensions,” Phys. Rev. B
2002
Earlier work this paper cites.
N. Iqbal and J. McGreevy, “Toward a 3d Ising model with a weakly-coupled string theory dual,” SciPost Phys
Original
2003
Earlier work this paper cites.
A. Y. Kitaev, “Fault-tolerant quantum computation by anyons,” Annals of Physics
2003
Earlier work this paper cites.

Similar

N. Seiberg and S.-H. Shao, “Exotic Symmetries, Duality, and Fractons in 2+1-Dimensional Quantum Field Theory,” SciPost Phys
Original
2003
Cited alongside, same era.
J. C. Baez and A. D. Lauda, “Higher-Dimensional Algebra V: 2-Groups,” arXiv Mathematics e-prints
2003
Cited alongside, same era.
M. Vettorazzo and P. de Forcrand, “Electromagnetic fluxes, monopoles, and the order of the 4-d compact U(1) phase transition,” Nucl. Phys. B
2004
Cited alongside, same era.
M. B. Hastings, “Lieb-Schultz-Mattis in higher dimensions,” Phys. Rev. B
2004
Cited alongside, same era.
N. Seiberg and S.-H. Shao, “Exotic U ⁡ ( 1 ) U(1) Symmetries, Duality, and Fractons in 3+1-Dimensional Quantum Field Theory,” SciPost Phys
Original
2004
Cited alongside, same era.

Then

D. Aasen, R. S. K. Mong, and P. Fendley, “Topological Defects on the Lattice I: The Ising model,” J. Phys. A
Original
2016
Later among the works it cites.
E. Fradkin, “Disorder Operators and their Descendants,” J. Statist. Phys
Original
2017
Later among the works it cites.
M. Pretko, “Subdimensional Particle Structure of Higher Rank U(1) Spin Liquids,” Phys. Rev. B
Original
2017
Later among the works it cites.
K. Slagle and Y. B. Kim, “Quantum Field Theory of X-Cube Fracton Topological Order and Robust Degeneracy from Geometry,” Phys. Rev. B
Original
2017
Later among the works it cites.
C. Wang, A. Nahum, M. A. Metlitski, C. Xu, and T. Senthil, “Deconfined quantum critical points: symmetries and dualities,” Phys. Rev. X

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

N. Seiberg and S.-H. Shao, “Exotic ℤ N \mathbb{Z}_{N} symmetries, duality, and fractons in 3+1-dimensional quantum field theory,” SciPost Phys

Original

2004

Cited alongside, same era.

D. T. Stephen, J. Garre-Rubio, A. Dua, and D. J. Williamson, “Subsystem symmetry enriched topological order in three dimensions,” Phys. Rev. Res

Original

2004

Cited alongside, same era.

S. Pal and Z. Sun, “High Energy Modular Bootstrap, Global Symmetries and Defects,” JHEP

Original

2004

Cited alongside, same era.

M. Levin and T. Senthil, “Deconfined quantum criticality and Néel order via dimer disorder,” Phys. Rev. B

2004

Cited alongside, same era.

M. A. Levin and X.-G. Wen, “String net condensation: A Physical mechanism for topological phases,” Phys. Rev

2005

Cited alongside, same era.

M. A. Levin and X.-G. Wen, “Colloquium: Photons and electrons as emergent phenomena,” Rev. Mod. Phys

2005

Cited alongside, same era.

M. B. Hastings and X.-G. Wen, “Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance,” Physical review b

2005

Cited alongside, same era.

Original

2017

Later among the works it cites.

S. Grozdanov, D. M. Hofman, and N. Iqbal, “Generalized global symmetries and dissipative magnetohydrodynamics,” Phys. Rev. D

Original

2017

Later among the works it cites.

D. Gaiotto, A. Kapustin, Z. Komargodski, and N. Seiberg, “Theta, Time Reversal, and Temperature,” JHEP

Original

2017