Fetching the paper…
Reading the bibliography…
It has recently been understood that the complete global symmetry of finite group topological gauge theories contains the structure of a higher-group.
P.-S. Hsin and A. Turzillo, “Symmetry-enriched quantum spin liquids in (3 + 1) d d ,” JHEP
1904
Earlier work this paper cites.
R. Kobayashi, “Pin TQFT and Grassmann integral,” Journal of High Energy Physics
1905
Earlier work this paper cites.
1908
Earlier work this paper cites.
1909
Earlier work this paper cites.
1910
Earlier work this paper cites.
1910
Earlier work this paper cites.
W.-T. Wu, “On Pontrjagin classes III,” Acta Math. Sinica
1954
Earlier work this paper cites.
E. H. Brown, “Generalizations of the Kervaire Invariant,” Annals of Mathematics
1972
Earlier work this paper cites.
D. S. Freed and C. Teleman, “Topological dualities in the Ising model,” Geom. Topol
1984
Earlier work this paper cites.
G. Moore and N. Seiberg, “Classical and quantum conformal field theory,” Comm. Math. Phys
1989
Earlier work this paper cites.
E. Witten, “Quantum field theory and the Jones polynomial,” Comm. Math. Phys
1989
Earlier work this paper cites.
R. Kirby and L. Taylor, “Pin Structure on Low-dimensional Manifolds,” Geometry of low-dimensional manifolds
1989
Earlier work this paper cites.
G. Moore and N. Read, “Nonabelions in the fractional quantum hall effect,” Nuclear Physics B
1991
Earlier work this paper cites.
M. H. Freedman, “P/NP, and the quantum field computer,” Proc Natl Acad Sci U S A
1998
Earlier work this paper cites.
N. Read and D. Green, “Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum hall effect,” Phys. Rev. B
2000
Earlier work this paper cites.
M. H. Freedman and D. A. Meyer, “Projective plane and planar quantum codes,” Foundations of Computational Mathematics
2001
Earlier work this paper cites.
A. Y. Kitaev, “Unpaired majorana fermions in quantum wires,” Physics-Uspekhi
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. Y. Kitaev, “Fault tolerant quantum computation by anyons,” Annals Phys
2003
Earlier work this paper cites.
T. Hansson, V. Oganesyan, and S. Sondhi, “Superconductors are topologically ordered,” Annals of Physics
2004
Earlier work this paper cites.
M. Levin and X.-G. Wen, “Quantum ether: photons and electrons from a rotor model,” Phys. Rev. B
2006
Earlier work this paper cites.
A. Kitaev, “Anyons in an exactly solved model and beyond,” Annals Phys
2006
Earlier work this paper cites.
P.-S. Hsin and H. T. Lam, “Discrete theta angles, symmetries and anomalies,” SciPost Phys
2007
Earlier work this paper cites.
C. Nayak, S. H. Simon, A. Stern, M. Freedman, and S. D. Sarma, “Non-abelian anyons and topological quantum computation,” Rev. Mod. Phys
2008
Earlier work this paper cites.
American Mathematical Society, 2008
Z. Wang, Topological Quantum Computation · 2008
Earlier work this paper cites.
H. Li and F. D. M. Haldane, “Entanglement spectrum as a generalization of entanglement entropy: Identification of topological order in non-abelian fractional quantum hall effect states,” Phys. Rev. Lett
2008
Earlier work this paper cites.
2009
Earlier work this paper cites.
M. Barkeshli and X.-G. Wen, “ u ( 1 ) × u ( 1 ) ⋊ ℤ 2 u(1)\times u(1)\rtimes\mathbb{Z}_{2} chern-simons theory and ℤ 4 \mathbb{Z}_{4} parafermion fractional quantum hall states,” Physical Review B
2010
Earlier work this paper cites.
H. Bombin, “Topological order with a twist: Ising anyons from an abelian model,” Phys. Rev. Lett
2010
Earlier work this paper cites.
2010
Cited alongside, same era.
P. Etingof, D. Nikshych, and V. Ostrik, “Fusion categories and homotopy theory,” Quantum Topology
2010
Cited alongside, same era.
L. Fidkowski and A. Kitaev, “Effects of interactions on the topological classification of free fermion systems,” Physical Review B
2010
Cited alongside, same era.
T. D. Brennan and C. Cordova, “Axions, higher-groups, and emergent symmetry,” JHEP
2011
Cited alongside, same era.
L. Fidkowski and A. Kitaev, “Topological phases of fermions in one dimension,” Physical Review B
A. Kapustin and R. Thorngren, “Fermionic SPT phases in higher dimensions and bosonization,” JHEP
2017
Later among the works it cites.
2017
Later among the works it cites.
M. Barkeshli and M. Cheng, “Time-reversal and spatial-reflection symmetry localization anomalies in (2+1)-dimensional topological phases of matter,” Phys. Rev. B
2018
Later among the works it cites.
P. Webster and S. D. Bartlett, “Locality-preserving logical operators in topological stabilizer codes,” Phys. Rev. A
2018
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2011
Cited alongside, same era.
2011
Cited alongside, same era.
A. Kitaev and L. Kong, “Models for gapped boundaries and domain walls,” Comm. Math. Phys
2012
Cited alongside, same era.
2012
Cited alongside, same era.
2012
Cited alongside, same era.
2012
Cited alongside, same era.
Y.-Z. You and X.-G. Wen, “Projective non-abelian statistics of dislocation defects in a 𝕫 N {\mathbb{z}}_{N} rotor model,” Phys. Rev. B
2012
Cited alongside, same era.
2012
Cited alongside, same era.
2018
Later among the works it cites.
R. Thorngren and D. V. Else, “Gauging spatial symmetries and the classification of topological crystalline phases,” Phys. Rev. X
2018
Later among the works it cites.
2018
Later among the works it cites.
2019
Later among the works it cites.
D. Barter, J. C. Bridgeman, and C. Jones, “Domain walls in topological phases and the brauer–picard ring for \ \backslash rm vec (z/p z) vec (z/p z),” Communications in Mathematical Physics
2019
Later among the works it cites.
2019
Later among the works it cites.
C. Córdova, T. T. Dumitrescu, and K. Intriligator, “Exploring 2-Group Global Symmetries,” JHEP
2019
Later among the works it cites.
F. Benini, C. Córdova, and P.-S. Hsin, “On 2-Group Global Symmetries and their Anomalies,” JHEP
2019
Later among the works it cites.
Y. Tachikawa, “On gauging finite subgroups,” SciPost Phys
2020
Later among the works it cites.
Q.-R. Wang and Z.-C. Gu, “Construction and classification of symmetry-protected topological phases in interacting fermion systems,” Phys. Rev. X
2020
Later among the works it cites.
P. Webster and S. D. Bartlett, “Fault-tolerant quantum gates with defects in topological stabilizer codes,” Phys. Rev. A
2020
Later among the works it cites.
D. Delmastro, D. Gaiotto, and J. Gomis, “Global anomalies on the hilbert space,” Journal of High Energy Physics
2021
Later among the works it cites.
2022
Later among the works it cites.
2022
Later among the works it cites.
2022
Later among the works it cites.
M. Barkeshli, Y.-A. Chen, P.-S. Hsin, and N. Manjunath, “Classification of ( 2 + 1 ) (2+1) d invertible fermionic topological phases with symmetry,” Phys. Rev. B
2022
Later among the works it cites.
L. Fidkowski, J. Haah, and M. B. Hastings, “Gravitational anomaly of ( 3 + 1 ) (3+1) -dimensional z 2 z_{2} toric code with fermionic charges and fermionic loop self-statistics,” Phys. Rev. B
2022
Later among the works it cites.
Y. Zhang, N. Manjunath, G. Nambiar, and M. Barkeshli, “Fractional disclination charge and discrete shift in the hofstadter butterfly,” Phys. Rev. Lett
2022
Later among the works it cites.
2023
Closest in time.
2023
Closest in time.
T. Dumitrescu and P.-S. Hsin. To appear, 2023
2023
Closest in time.
N. Manjunath, V. Calvera, and M. Barkeshli, “Nonperturbative constraints from symmetry and chirality on majorana zero modes and defect quantum numbers in (2+1) dimensions,” Phys. Rev. B
2023
Closest in time.
Y. Zhang, N. Manjunath, R. Kobayashi, and M. Barkeshli, “Complete crystalline topological invariants from partial rotations in (2+1)d invertible fermionic states and hofstadter’s butterfly,” Physical Review Letters
2023
Closest in time.
Y. Zhang, N. Manjunath, G. Nambiar, and M. Barkeshli, “Quantized charge polarization as a many-body invariant in ( 2 + 1 ) D (2+1)\mathrm{D} crystalline topological states and hofstadter butterflies,” Phys. Rev. X
2023
Closest in time.