Built on

Z. Wan, J. Wang and Y. Zheng, Quantum 4d Yang-Mills Theory and Time-Reversal Symmetric 5d Higher-Gauge Topological Field Theory , Phys. Rev. D100
Original
1904
Earlier work this paper cites.
P.-S. Hsin and A. Turzillo, Symmetry-Enriched Quantum Spin Liquids in ( 3 + 1 ) d (3+1)d , 1904.11550
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 II , 1905.13361
Original
1905
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 , 1905.09315
Original
1905
Earlier work this paper cites.
C.-T. Hsieh, Y. Tachikawa and K. Yonekura, Anomaly of the Electromagnetic Duality of Maxwell Theory , Phys. Rev. Lett. 123
Original
1905
Earlier work this paper cites.
P.-S. Hsin and S.-H. Shao, Lorentz Symmetry Fractionalization and Dualities in (2+1)d , 1909.07383
Original
1909
Earlier work this paper cites.
Z. Wan and J. Wang, Beyond Standard Models and Grand Unifications: Anomalies, Topological Terms and Dynamical Constraints via Cobordisms , 1910.14668
Original
1910
Earlier work this paper cites.
J. Wang, Y.-Z. You and Y. Zheng, Gauge Enhanced Quantum Criticality and Time Reversal Domain Wall: SU(2) Yang-Mills Dynamics with Topological Terms , 1910.14664
Original
1910
Earlier work this paper cites.
P. A. M. Dirac, The Theory of magnetic poles , Phys. Rev. 74
1948
Earlier work this paper cites.
E. Thomas, On the cohomology of the real grassmann complexes and the characteristic classes of n-plane bundles , Transactions of the American Mathematical Society 96
Original
1960
Earlier work this paper cites.
J. S. Schwinger, Magnetic charge and quantum field theory , Phys. Rev. 144
1966
Earlier work this paper cites.
D. Zwanziger, Quantum field theory of particles with both electric and magnetic charges , Phys. Rev. 176
1968
Earlier work this paper cites.
H. Georgi and S. L. Glashow, Unified weak and electromagnetic interactions without neutral currents , Phys. Rev. Lett. 28
1972
Earlier work this paper cites.
K. G. Wilson, Confinement of Quarks , Phys. Rev. D10
1974
Earlier work this paper cites.
G. Hooft, Magnetic monopoles in unified gauge theories , Nuclear Physics B 79
1974
Earlier work this paper cites.
A. M. Polyakov, Particle Spectrum in the Quantum Field Theory , JETP Lett. 20
1974
Earlier work this paper cites.
R. Jackiw and C. Rebbi, Spin from Isospin in a Gauge Theory , Phys. Rev. Lett. 36
1976
Earlier work this paper cites.
P. Hasenfratz and G. ’t Hooft, A Fermion-Boson Puzzle in a Gauge Theory , Phys. Rev. Lett. 36
1976
Earlier work this paper cites.

Similar

A. S. Goldhaber, Spin and Statistics Connection for Charge-Monopole Composites , Phys. Rev. Lett. 36
1976
Cited alongside, same era.
P. Goddard, J. Nuyts and D. I. Olive, Gauge Theories and Magnetic Charge , Nucl. Phys. B125
1977
Cited alongside, same era.
C. Montonen and D. I. Olive, Magnetic Monopoles as Gauge Particles? , Phys. Lett. 72B
1977
Cited alongside, same era.
G. ’t Hooft, On the Phase Transition Towards Permanent Quark Confinement , Nucl. Phys. B138
1978
Cited alongside, same era.
E. Witten, Dyons of Charge e theta/2 pi , Phys. Lett. B86
1979
Cited alongside, same era.
H. Osborn, Topological Charges for N=4 Supersymmetric Gauge Theories and Monopoles of Spin 1 , Phys. Lett. 83B
1979

Then

C. Wang, A. C. Potter and T. Senthil, Classification of interacting electronic topological insulators in three dimensions , Science 343
Original
2014
Later among the works it cites.
A. Kapustin and R. Thorngren, Topological Field Theory on a Lattice, Discrete Theta-Angles and Confinement , Adv. Theor. Math. Phys. 18
Original
2014
Later among the works it cites.
A. Kapustin and N. Seiberg, Coupling a QFT to a TQFT and Duality , JHEP 04
Original
2014
Later among the works it cites.
D. Gaiotto, A. Kapustin, N. Seiberg and B. Willett, Generalized Global Symmetries , JHEP 02
Original
2015
Later among the works it cites.
R. Thorngren, Framed Wilson Operators, Fermionic Strings, and Gravitational Anomaly in 4d , JHEP 02

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2019

Line Operators of Gauge Theories on Non-Spin Manifolds

Ang, J. P., Roumpedakis, Konstantinos, Seifnashri, Sahand

Understand

We study four-dimensional gauge theories on oriented and non-spin spacetime manifolds.

On such manifolds, each line operator arises only either as a boson or a fermion.
Based on physical arguments, a method of systematically assigning spin labels to line operators is proposed, and several consistency checks are performed.
This is used to classify all possible sets of allowed line operators -- including their spins -- for gauge theories with simple Lie algebras.

Built on

Z. Wan, J. Wang and Y. Zheng, Quantum 4d Yang-Mills Theory and Time-Reversal Symmetric 5d Higher-Gauge Topological Field Theory , Phys. Rev. D100
Original
1904
Earlier work this paper cites.
P.-S. Hsin and A. Turzillo, Symmetry-Enriched Quantum Spin Liquids in ( 3 + 1 ) d (3+1)d , 1904.11550
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 II , 1905.13361
Original
1905
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 , 1905.09315
Original
1905
Earlier work this paper cites.
C.-T. Hsieh, Y. Tachikawa and K. Yonekura, Anomaly of the Electromagnetic Duality of Maxwell Theory , Phys. Rev. Lett. 123
Original
1905
Earlier work this paper cites.
P.-S. Hsin and S.-H. Shao, Lorentz Symmetry Fractionalization and Dualities in (2+1)d , 1909.07383
Original
1909
Earlier work this paper cites.
Z. Wan and J. Wang, Beyond Standard Models and Grand Unifications: Anomalies, Topological Terms and Dynamical Constraints via Cobordisms , 1910.14668
Original
1910
Earlier work this paper cites.
J. Wang, Y.-Z. You and Y. Zheng, Gauge Enhanced Quantum Criticality and Time Reversal Domain Wall: SU(2) Yang-Mills Dynamics with Topological Terms , 1910.14664
Original
1910
Earlier work this paper cites.
P. A. M. Dirac, The Theory of magnetic poles , Phys. Rev. 74
1948
Earlier work this paper cites.
E. Thomas, On the cohomology of the real grassmann complexes and the characteristic classes of n-plane bundles , Transactions of the American Mathematical Society 96
Original
1960
Earlier work this paper cites.
J. S. Schwinger, Magnetic charge and quantum field theory , Phys. Rev. 144
1966
Earlier work this paper cites.
D. Zwanziger, Quantum field theory of particles with both electric and magnetic charges , Phys. Rev. 176
1968
Earlier work this paper cites.
H. Georgi and S. L. Glashow, Unified weak and electromagnetic interactions without neutral currents , Phys. Rev. Lett. 28
1972
Earlier work this paper cites.
K. G. Wilson, Confinement of Quarks , Phys. Rev. D10
1974
Earlier work this paper cites.
G. Hooft, Magnetic monopoles in unified gauge theories , Nuclear Physics B 79
1974
Earlier work this paper cites.
A. M. Polyakov, Particle Spectrum in the Quantum Field Theory , JETP Lett. 20
1974
Earlier work this paper cites.
R. Jackiw and C. Rebbi, Spin from Isospin in a Gauge Theory , Phys. Rev. Lett. 36
1976
Earlier work this paper cites.
P. Hasenfratz and G. ’t Hooft, A Fermion-Boson Puzzle in a Gauge Theory , Phys. Rev. Lett. 36
1976
Earlier work this paper cites.

Similar

A. S. Goldhaber, Spin and Statistics Connection for Charge-Monopole Composites , Phys. Rev. Lett. 36
1976
Cited alongside, same era.
P. Goddard, J. Nuyts and D. I. Olive, Gauge Theories and Magnetic Charge , Nucl. Phys. B125
1977
Cited alongside, same era.
C. Montonen and D. I. Olive, Magnetic Monopoles as Gauge Particles? , Phys. Lett. 72B
1977
Cited alongside, same era.
G. ’t Hooft, On the Phase Transition Towards Permanent Quark Confinement , Nucl. Phys. B138
1978
Cited alongside, same era.
E. Witten, Dyons of Charge e theta/2 pi , Phys. Lett. B86
1979
Cited alongside, same era.
H. Osborn, Topological Charges for N=4 Supersymmetric Gauge Theories and Monopoles of Spin 1 , Phys. Lett. 83B
1979

Then

C. Wang, A. C. Potter and T. Senthil, Classification of interacting electronic topological insulators in three dimensions , Science 343
Original
2014
Later among the works it cites.
A. Kapustin and R. Thorngren, Topological Field Theory on a Lattice, Discrete Theta-Angles and Confinement , Adv. Theor. Math. Phys. 18
Original
2014
Later among the works it cites.
A. Kapustin and N. Seiberg, Coupling a QFT to a TQFT and Duality , JHEP 04
Original
2014
Later among the works it cites.
D. Gaiotto, A. Kapustin, N. Seiberg and B. Willett, Generalized Global Symmetries , JHEP 02
Original
2015
Later among the works it cites.
R. Thorngren, Framed Wilson Operators, Fermionic Strings, and Gravitational Anomaly in 4d , JHEP 02

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

C. Vafa and E. Witten, A Strong coupling test of S duality , Nucl. Phys. B431

1994

Cited alongside, same era.

E. Witten, On S duality in Abelian gauge theory , Selecta Math. 1

1995

Cited alongside, same era.

J. A. Harvey, Magnetic monopoles, duality and supersymmetry , in Fields, strings and duality. Proceedings, Summer School, Theoretical Advanced Study Institute in Elementary Particle Physics, TASI’96, Boulder, USA, June 2-28, 1996 , 1996, hep-th/9603086

1996

Cited alongside, same era.

E. Witten, Supersymmetric index in four-dimensional gauge theories , Adv. Theor. Math. Phys. 5

2002

Cited alongside, same era.

A. Kapustin, Wilson-’t Hooft operators in four-dimensional gauge theories and S-duality , Phys. Rev. D74

2006

Cited alongside, same era.

P. C. Argyres, A. Kapustin and N. Seiberg, On S-duality for non-simply-laced gauge groups , JHEP 06

2006

Cited alongside, same era.

Original