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We study higher-form global symmetries and a higher-group structure of a low-energy limit of $(3+1)$-dimensional axion electrodynamics in a gapped phase described by a topological action.
C. Delcamp and A. Tiwari, “On 2-form gauge models of topological phases,” JHEP 05
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P. Sikivie, “Of Axions, Domain Walls and the Early Universe,” Phys. Rev. Lett. 48
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A. Sekine and K. Nomura, “Axion Electrodynamics in Topological Materials,” J. Appl. Phys. 129
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1990
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M. Blau and G. Thompson, “Topological Gauge Theories of Antisymmetric Tensor Fields,” Annals Phys. 205
1991
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P. K. Townsend, “Effective description of axion defects,” Phys. Lett. B309
1993
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1993
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I. I. Kogan, “Kaluza-Klein and axion domain walls: Induced charge and mass transmutation,” Phys. Lett. B 299
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J. M. Izquierdo and P. K. Townsend, “Axionic defect anomalies and their cancellation,” Nucl. Phys. B414
1994
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E. Masso and R. Toldra, “On a light spinless particle coupled to photons,” Phys. Rev. D 52
1995
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2011
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2011
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J. C. Baez and J. Huerta, “An Invitation to Higher Gauge Theory,” Gen. Rel. Grav. 43
2011
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2011
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2012
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T. Brauner, “Field theories with higher-group symmetry from composite currents,” JHEP 04
2012
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2012
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2012
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2013
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M. Kawasaki and K. Nakayama, “Axions: Theory and Cosmological Role,” Ann. Rev. Nucl. Part. Sci. 63
2013
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2013
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2013
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A. Kapustin and N. Seiberg, “Coupling a QFT to a TQFT and Duality,” JHEP 04
2014
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2014
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W. Wang, “On 3-gauge transformations, 3-curvatures, and Gray-categories,” J. Math. Phys. 55
2014
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2014
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D. Gaiotto, A. Kapustin, N. Seiberg, and B. Willett, “Generalized Global Symmetries,” JHEP 02
2015
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E. Sharpe, “Notes on generalized global symmetries in QFT,” Fortsch. Phys. 63
2015
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D. J. E. Marsh, “Axion Cosmology,” Phys. Rept. 643
2016
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2016
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2016
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2017
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2017
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Y. Tanizaki, T. Misumi, and N. Sakai, “Circle compactification and ’t Hooft anomaly,” JHEP 12
2017
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2017
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A. Kapustin and R. Thorngren, “Fermionic SPT phases in higher dimensions and bosonization,” JHEP 10
2017
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2018
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D. Gaiotto, Z. Komargodski, and N. Seiberg, “Time-reversal breaking in QCD 4
2018
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2018
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C. Delcamp and A. Tiwari, “From gauge to higher gauge models of topological phases,” JHEP 10
2018
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2018
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2019
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2019
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F. Benini, C. Córdova, and P.-S. Hsin, “On 2-Group Global Symmetries and their Anomalies,” JHEP 03
2019
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C. Córdova, T. T. Dumitrescu, and K. Intriligator, “Exploring 2-Group Global Symmetries,” JHEP 02
2019
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2019
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