Fetching the paper…
Reading the bibliography…
We discuss the $SU(3)/[U(1)\times U(1)]$ nonlinear sigma model in 1+1D and, more broadly, its linearized counterparts.
H. Bethe, “On the theory of metals. 1. Eigenvalues and eigenfunctions for the linear atomic chain,” Z. Phys
1931
Earlier work this paper cites.
E. H. Lieb, T. Schultz, and D. Mattis, “Two soluble models of an antiferromagnetic chain,” Annals Phys
1961
Earlier work this paper cites.
N. D. Mermin and H. Wagner, “Absence of ferromagnetism or antiferromagnetism in one-or two-dimensional isotropic Heisenberg models,” Phys. Rev. Lett
1966
Earlier work this paper cites.
J. Wess and B. Zumino, “Consequences of anomalous Ward identities,” Phys. Lett
1971
Earlier work this paper cites.
S. R. Coleman, “There are no Goldstone bosons in two-dimensions,” Commun. Math. Phys
1973
Earlier work this paper cites.
A. M. Polyakov, “Interaction of Goldstone Particles in Two-Dimensions. Applications to Ferromagnets and Massive Yang-Mills Fields,” Phys. Lett
1975
Earlier work this paper cites.
E. Witten, “Instantons, the Quark Model, and the 1/n Expansion,” Nucl.Phys
1979
Earlier work this paper cites.
I. Affleck, “The Role of Instantons in Scale Invariant Gauge Theories,” Nucl. Phys
1980
Earlier work this paper cites.
Y. Frishman, A. Schwimmer, T. Banks, and S. Yankielowicz, “The Axial Anomaly and the Bound State Spectrum in Confining Theories,” Nucl. Phys
1981
Earlier work this paper cites.
S. R. Coleman and B. Grossman, “’t Hooft’s Consistency Condition as a Consequence of Analyticity and Unitarity,” Nucl. Phys
1982
Earlier work this paper cites.
F. D. M. Haldane, “Continuum dynamics of the 1-D Heisenberg antiferromagnetic identification with the O(3) nonlinear sigma model,” Phys. Lett
1983
Earlier work this paper cites.
F. D. M. Haldane, “Nonlinear field theory of large spin Heisenberg antiferromagnets. Semiclassically quantized solitons of the one-dimensional easy Axis Neel state,” Phys. Rev. Lett
1983
Earlier work this paper cites.
E. Witten, “Global Aspects of Current Algebra,” Nucl. Phys
1983
Earlier work this paper cites.
E. Witten, “Nonabelian Bosonization in Two-Dimensions,” Commun. Math. Phys
1983
Earlier work this paper cites.
V. G. Knizhnik and A. B. Zamolodchikov, “Current Algebra and Wess-Zumino Model in Two-Dimensions,” Nucl. Phys
1984
Earlier work this paper cites.
I. Affleck and E. H. Lieb, “A Proof of Part of Haldane’s Conjecture on Spin Chains,” Lett. Math. Phys
1986
Earlier work this paper cites.
I. Affleck, “Exact Critical Exponents for Quantum Spin Chains, Nonlinear Sigma Models at Theta = pi and the Quantum Hall Effect,” Nucl. Phys
1986
Earlier work this paper cites.
D. Gepner and E. Witten, “String Theory on Group Manifolds,” Nucl. Phys
1986
Earlier work this paper cites.
A. B. Zamolodchikov, “Irreversibility of the Flux of the Renormalization Group in a 2D Field Theory,” JETP Lett
1986
Earlier work this paper cites.
I. Affleck, T. Kennedy, E. H. Lieb, and H. Tasaki, “Rigorous Results on Valence Bond Ground States in Antiferromagnets,” Phys. Rev. Lett
1987
Earlier work this paper cites.
I. Affleck and F. D. M. Haldane, “Critical Theory of Quantum Spin Chains,” Phys. Rev
1987
Earlier work this paper cites.
CRC Press, 1 ed., 9, 1987
A. Polyakov, Gauge Fields and Strings (Mathematical Reports,) · 1987
Earlier work this paper cites.
I. Affleck, “Critical Behavior of SU( n n ) Quantum Chains and Topological Nonlinear σ \sigma Models,” Nucl. Phys
1988
Earlier work this paper cites.
M. Oshikawa, “Commensurability, excitation gap, and topology in quantum many-particle systems on a periodic lattice,” Phys. Rev. Lett
2000
Earlier work this paper cites.
E. Witten, “Supersymmetric index in four-dimensional gauge theories,” Adv. Theor. Math. Phys
2002
Earlier work this paper cites.
C. Wu, J.-p. Hu, and S.-c. Zhang, “Exact SO(5) Symmetry in the Spin- 3 / 2 3/2 Fermionic System,” Phys. Rev. Lett
2003
Earlier work this paper cites.
M. B. Hastings, “Lieb-Schultz-Mattis in higher dimensions,” Phys. Rev
2004
Earlier work this paper cites.
C. Honerkamp and W. Hofstetter, “Ultracold Fermions and the SU ( N ) \mathrm{SU}(N) Hubbard Model,” Phys. Rev. Lett
2004
Earlier work this paper cites.
T. Senthil, A. Vishwanath, L. Balents, S. Sachdev, and M. P. A. Fisher, “Deconfined quantum critical points,” Science
2004
Earlier work this paper cites.
M. Greiter, S. Rachel, and D. Schuricht, “Exact results for SU(3) spin chains: Trimer states, valence bond solids, and their parent Hamiltonians,” Phys. Rev. B
2007
Earlier work this paper cites.
M. Greiter and S. Rachel, “Valence bond solids for SU ( n ) \mathrm{SU}(n) spin chains: Exact models, spinon confinement, and the Haldane gap,” Phys. Rev. B
2007
Earlier work this paper cites.
P. Kovtun, M. Unsal, and L. G. Yaffe, “Volume independence in large N(c) QCD-like gauge theories,” JHEP
2007
Earlier work this paper cites.
B. Allés and A. Papa, “Mass gap in the 2d o(3) nonlinear sigma model with a θ = π \theta=\pi term,” Phys. Rev. D
2008
Earlier work this paper cites.
2008
Earlier work this paper cites.
M. Unsal, “Abelian duality, confinement, and chiral symmetry breaking in QCD(adj),” Phys. Rev. Lett
2008
Earlier work this paper cites.
2008
Earlier work this paper cites.
M. A. Cazalilla, A. F. Ho, and M. Ueda, “Ultracold gases of ytterbium: ferromagnetism and mott states in an su(6) fermi system,” New Journal of Physics
2009
Earlier work this paper cites.
S. Rachel, R. Thomale, M. Führinger, P. Schmitteckert, and M. Greiter, “Spinon confinement and the Haldane gap in SU ( n ) \text{SU}(n) spin chains,” Phys. Rev. B
2009
Cited alongside, same era.
2009
Cited alongside, same era.
2009
Cited alongside, same era.
G. Cossu and M. D’Elia, “Finite size phase transitions in QCD with adjoint fermions,” JHEP
2009
Cited alongside, same era.
A. V. Gorshkov, M. Hermele, V. Gurarie, C. Xu, P. S. Julienne, J. Ye, P. Zoller, E. Demler, M. D. Lukin, and A. Rey, “Two-orbital su (n) magnetism with ultracold alkaline-earth atoms,” Nature Physics
P. Lecheminant, “Massless renormalization group flow in SU(N) k
2015
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
G. V. Dunne and M. Unsal, “Resurgence and Dynamics of O(N) and Grassmannian Sigma Models,” JHEP
2015
Later among the works it cites.
S. Capponi, P. Lecheminant, and K. Totsuka, “Phases of one-dimensional su(n) cold atomic fermi gases—from molecular luttinger liquids to topological phases,” Annals of Physics
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2010
Cited alongside, same era.
2011
Cited alongside, same era.
X. Chen, Z.-C. Gu, and X.-G. Wen, “Classification of gapped symmetric phases in one-dimensional spin systems,” Physical review b
2011
Cited alongside, same era.
S. Bieri, M. Serbyn, T. Senthil, and P. A. Lee, “Paired chiral spin liquid with a fermi surface in s = 1 s=1 model on the triangular lattice,” Phys. Rev. B
2012
Cited alongside, same era.
S. Taie, R. Yamazaki, S. Sugawa, and Y. Takahashi, “An SU (6) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling,” Nature Physics
2012
Cited alongside, same era.
D. Bykov, “Haldane limits via Lagrangian embeddings,” Nucl. Phys
2012
Cited alongside, same era.
2012
Cited alongside, same era.
2012
Cited alongside, same era.
2016
Later among the works it cites.
E. Witten, “Fermion Path Integrals And Topological Phases,” Rev. Mod. Phys
2016
Later among the works it cites.
2016
Later among the works it cites.
E. Witten, “The ”Parity” Anomaly On An Unorientable Manifold,” Phys. Rev
2016
Later among the works it cites.
H. T. Ueda, Y. Akagi, and N. Shannon, “Quantum solitons with emergent interactions in a model of cold atoms on the triangular lattice,” Phys. Rev. A
2016
Later among the works it cites.
P. Nataf and F. Mila, “Exact diagonalization of Heisenberg SU ( N ) \mathrm{SU}(N) chains in the fully symmetric and antisymmetric representations,” Phys. Rev. B
2016
Later among the works it cites.
Y. Fuji, “Effective field theory for one-dimensional valence-bond-solid phases and their symmetry protection,” Phys. Rev. B
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2017
Later among the works it cites.
Y. Tachikawa and K. Yonekura, “On time-reversal anomaly of 2+1d topological phases,” PTEP
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
Y. Tanizaki, T. Misumi, and N. Sakai, “Circle compactification and ’t Hooft anomaly,” JHEP
2017
Later among the works it cites.
T. Sulejmanpasic, “Lattice 2017 talk: Theta-angle, global symmetries and sign problem in compact 1+1d u(1) gauge theories,” 2017
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
K. Aitken, A. Cherman, E. Poppitz, and L. G. Yaffe, “QCD on a small circle,” Phys. Rev
2017
Later among the works it cites.
2017
Later among the works it cites.
2018
Closest in time.
2018
Closest in time.
2018
Closest in time.
D. Gaiotto, Z. Komargodski, and N. Seiberg, “Time-reversal breaking in QCD 4
2018
Closest in time.
2018
Closest in time.