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We make connections between studies in the condensed matter literature on quantum phase transitions in square lattice antiferromagnets, and results in the particle theory literature on abelian supersymmetric gauge theories in 2+1 dimensions.
S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Spacetime
1975
Earlier work this paper cites.
M. E. Peskin, “Mandelstam-’t Hooft duality in abelian lattice models,” Annals of Physics, 113
1978
Earlier work this paper cites.
C. Dasgupta and B. I. Halperin, “Phase Transition in a Lattice Model of Superconductivity,” Phys. Rev. Lett. 47
1981
Earlier work this paper cites.
F. D. M. Haldane, “Spontaneous dimerization in the S=1/2 Heisenberg antiferromagnetic chain with competing interactions,” Phys. Rev. B 25
1982
Earlier work this paper cites.
F. D. M. Haldane, “ O ( 3 ) O(3) Nonlinear σ \sigma Model and the Topological Distinction between Integer- and Half-Integer-Spin Antiferromagnets in Two Dimensions,” Phys. Rev. Lett. 61
1988
Earlier work this paper cites.
N. Read and S. Sachdev, “Some features of the phase diagram of S U ( N ) SU(N) antiferromagnets on a square lattice,” Nucl. Phys. B 316
1989
Earlier work this paper cites.
N. Read and S. Sachdev, “Valence bond and spin-Peierls ground states of low dimensional quantum antiferromagnets,” Phys. Rev. Lett. 62
1989
Earlier work this paper cites.
N. Read and S. Sachdev, “Spin-Peierls, valence bond solid, and Neel ground states of low dimensional quantum antiferromagnets,” Phys. Rev. B 42
1990
Earlier work this paper cites.
G. Murthy and S. Sachdev, “Action of hedgehog instantons in the disordered phase of the (2+1)-dimensional C P N − 1 CP^{N-1} model,” Nucl. Phys. B 344
1990
Earlier work this paper cites.
A. Kovner, B. Rosenstein, and D. Eliezer, “Photon as a goldstone boson in (2 + 1)-dimensional abelian gauge theories,” Nucl. Phys. B, 350
1991
Earlier work this paper cites.
K. A. Intriligator and N. Seiberg, “Mirror symmetry in three dimensional gauge theories,” Phys. Lett. B 387
1996
Earlier work this paper cites.
P. C. Argyres, M. R. Plesser and N. Seiberg, “The Moduli Space of 𝒩 = 2 \mathcal{N}=2 SUSY QCD and Duality in 𝒩 = 1 \mathcal{N}=1 SUSY QCD,” Nucl. Phys. B 471
1996
Cited alongside, same era.
O. Aharony, A. Hanany, K. A. Intriligator, N. Seiberg and M. J. Strassler, “Aspects of 𝒩 = 2 \mathcal{N}=2 Supersymmetric Gauge Theories in Three Dimensions”, Nucl. Phys. B 499
1997
Cited alongside, same era.
A. Kapustin and M. J. Strassler, “On mirror symmetry in three dimensional Abelian gauge theories,” JHEP 9904
1999
Cited alongside, same era.
V. Borokhov, A. Kapustin and X. k. Wu, “Topological disorder operators in three-dimensional conformal field theory,” JHEP 0211
2002
Cited alongside, same era.
T. Senthil, A. Vishwanath, L. Balents, S. Sachdev, and M. P. A. Fisher, “Deconfined Quantum Critical Points”, Science 303
2004
Cited alongside, same era.
2007
Later among the works it cites.
C. P. Herzog, P. Kovtun, S. Sachdev and D. T. Son, “Quantum critical transport, duality, and M-theory,” Phys. Rev. D 75
2007
Later among the works it cites.
2008
Closest in time.
2008
Closest in time.
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T. Senthil, L. Balents, S. Sachdev, A. Vishwanath, and M. P. A. Fisher, “Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm”, Phys. Rev. B 70
2004
Cited alongside, same era.
O. I. Motrunich and A. Vishwanath, “Emergent photons and transitions in the O(3) sigma model with hedgehog suppression”, Phys. Rev. B 70
2004
Cited alongside, same era.
S. Sachdev, “ Quantum phases and phase transitions of Mott insulators,” in Quantum magnetism
2004
Cited alongside, same era.
L. Balents, L. Bartosch, A. Burkov, S. Sachdev, and K. Sengupta, “Putting competing orders in their place near the Mott transition,” Phys. Rev. B 71
2005
Cited alongside, same era.
A. W. Sandvik, “Evidence for Deconfined Quantum Criticality in a Two-Dimensional Heisenberg Model with Four-Spin Interactions,” Phys. Rev. Lett. 98
2007
Cited alongside, same era.
Cited in the paper.
Cited in the paper.
2008
Closest in time.
S. Sachdev, “Quantum magnetism and criticality,” Nature Physics 4
2008
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R. K. Kaul, Y. B. Kim, S. Sachdev, and T. Senthil, “Algebraic charge liquids,” Nature Physics 4
2008
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2008
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2008
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