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S. Eilenberg and S. MacLane, “Cohomology theory in abstract groups. I,” Ann. of Math
1947
Earlier work this paper cites.
G. Hochschild and J.-P. Serre, “Cohomology of group extensions,” Trans. Amer. Math. Soc
Original
1953
Earlier work this paper cites.
L. D. Faddeev and S. L. Shatashvili, “Algebraic and Hamiltonian Methods in the Theory of Nonabelian Anomalies,” Theor. Math. Phys
1984
Earlier work this paper cites.
C. G. Callan, Jr. and J. A. Harvey, “Anomalies and Fermion Zero Modes on Strings and Domain Walls,” Nucl. Phys
1985
Earlier work this paper cites.
C. Vafa, “Quantum Symmetries of String Vacua,” Mod. Phys. Lett
1989
Earlier work this paper cites.
R. Dijkgraaf and E. Witten, “Topological Gauge Theories and Group Cohomology,” Commun. Math. Phys
1990
Earlier work this paper cites.
M. Wakui, “On Dijkgraaf-Witten invariant for 3 3 -manifolds,” Osaka J. Math
1992
Earlier work this paper cites.
J. S. Carter, L. H. Kauffman, and M. Saito, “Structures and diagrammatics of four-dimensional topological lattice field theories,” Adv. Math
1999
Earlier work this paper cites.
D. Berenstein, V. Jejjala, and R. G. Leigh, “D-Branes on Singularities: New Quivers from Old,” Phys. Rev
2001
Earlier work this paper cites.
American Mathematical Society, Providence, RI, 2001
J. F. Davis and P. Kirk, Lecture notes in algebraic topology , vol. 35 of Graduate Studies in Mathematics · 2001
Earlier work this paper cites.
V. Ostrik, “Module categories over the Drinfeld double of a finite group,” Int. Math. Res. Not
2003
Earlier work this paper cites.
D. Naidu, “Categorical Morita equivalence for group-theoretical categories,” Comm. Algebra
2007
Earlier work this paper cites.

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Then

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2017

On gauging finite subgroups

Tachikawa, Yuji

Understand

We study in general spacetime dimension the symmetry of the theory obtained by gauging a non-anomalous finite normal Abelian subgroup $A$ of a $\Gamma$-symmetric theory.

Depending on how anomalous $\Gamma$ is, we find that the symmetry of the gauged theory can be i) a direct product of $G=\Gamma/A$ and a higher-form symmetry $\hat A$ with a mixed anomaly, where $\hat A$ is the Pontryagin dual of $A$; ii) an extension of the ordinary symmetry group $G$ by the higher-form symmetry $\hat A$; iii) or even more esoteric types of symmetries which are no longer groups.
We also discuss the relations to the effect called the $H^3(G,\hat A)$ symmetry localization obstruction in the condensed-matter theory and to some of the constructions in the works of Kapustin-Thorngren and Wang-Wen-Witten.

Built on

S. Eilenberg and S. MacLane, “Cohomology theory in abstract groups. I,” Ann. of Math
1947
Earlier work this paper cites.
G. Hochschild and J.-P. Serre, “Cohomology of group extensions,” Trans. Amer. Math. Soc
Original
1953
Earlier work this paper cites.
L. D. Faddeev and S. L. Shatashvili, “Algebraic and Hamiltonian Methods in the Theory of Nonabelian Anomalies,” Theor. Math. Phys
1984
Earlier work this paper cites.
C. G. Callan, Jr. and J. A. Harvey, “Anomalies and Fermion Zero Modes on Strings and Domain Walls,” Nucl. Phys
1985
Earlier work this paper cites.
C. Vafa, “Quantum Symmetries of String Vacua,” Mod. Phys. Lett
1989
Earlier work this paper cites.
R. Dijkgraaf and E. Witten, “Topological Gauge Theories and Group Cohomology,” Commun. Math. Phys
1990
Earlier work this paper cites.
M. Wakui, “On Dijkgraaf-Witten invariant for 3 3 -manifolds,” Osaka J. Math
1992
Earlier work this paper cites.
J. S. Carter, L. H. Kauffman, and M. Saito, “Structures and diagrammatics of four-dimensional topological lattice field theories,” Adv. Math
1999
Earlier work this paper cites.
D. Berenstein, V. Jejjala, and R. G. Leigh, “D-Branes on Singularities: New Quivers from Old,” Phys. Rev
2001
Earlier work this paper cites.
American Mathematical Society, Providence, RI, 2001
J. F. Davis and P. Kirk, Lecture notes in algebraic topology , vol. 35 of Graduate Studies in Mathematics · 2001
Earlier work this paper cites.
V. Ostrik, “Module categories over the Drinfeld double of a finite group,” Int. Math. Res. Not
2003
Earlier work this paper cites.
D. Naidu, “Categorical Morita equivalence for group-theoretical categories,” Comm. Algebra
2007
Earlier work this paper cites.

Similar

D. Naidu and D. Nikshych, “Lagrangian subcategories and braided tensor equivalences of twisted quantum doubles of finite groups,” Comm. Math. Phys
Original
2008
Cited alongside, same era.
P. Etingof, D. Nikshych, and V. Ostrik, “Fusion categories and homotopy theory,” Quantum Topol
Original
2010
Cited alongside, same era.
A. Kapustin and R. Thorngren, “Anomalies of Discrete Symmetries in Three Dimensions and Group Cohomology,” Phys. Rev. Lett
Original
2014
Cited alongside, same era.
I. Brunner, N. Carqueville, and D. Plencner, “A Quick Guide to Defect Orbifolds,” Proc. Symp. Pure Math
Original
2014
Cited alongside, same era.
D. S. Freed, “Anomalies and Invertible Field Theories,” Proc. Symp. Pure Math

Then

Beyond the bibliography

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

Open on alphaXiv

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Original

2014

Cited alongside, same era.

D. Gaiotto, A. Kapustin, N. Seiberg, and B. Willett, “Generalized Global Symmetries,” JHEP

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2015

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E. Sharpe, “Notes on Generalized Global Symmetries in QFT,” Fortsch. Phys

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2015

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Springer, 2015

Original

M. Bischoff, Y. Kawahigashi, R. Longo, and K.-H. Rehren, Tensor categories and endomorphisms of von Neumann algebras—with applications to quantum field theory , vol. 3 of SpringerBriefs in Mathematical Physics · 2015

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AMS, Providence, RI, 2015

P. Etingof, S. Gelaki, D. Nikshych, and V. Ostrik, Tensor categories , vol. 205 of Mathematical Surveys and Monographs · 2015

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E. Witten, “The ‘Parity’ Anomaly on an Unorientable Manifold,” Phys. Rev

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2016

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N. Carqueville and I. Runkel, “Orbifold Completion of Defect Bicategories,” Quantum Topol

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