Built on

G. Arias-Tamargo, A. Bourget, A. Pini, and D. Rodríguez-Gómez, “Discrete gauge theories of charge conjugation,” Nucl. Phys. B
Original
1903
Earlier work this paper cites.
D. Gaiotto and T. Johnson-Freyd, “Condensations in higher categories,” arXiv:1905.09566 [math.CT]
Original
1905
Earlier work this paper cites.
R. Thorngren and Y. Wang, “Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases,” arXiv:1912.02817 [hep-th]
Original
1912
Earlier work this paper cites.
J. H. C. Whitehead, “On simply connected, 4-dimensional polyhedra,” Comm. Math. Helv
1949
Earlier work this paper cites.
Springer-Verlag, 1985
J. Cheeger and J. Simons, “Differential Characters and Geometric Invariants,” in Geometry and Topology · 1985
Earlier work this paper cites.
E. P. Verlinde, “Fusion Rules and Modular Transformations in 2D Conformal Field Theory,” Nucl. Phys. B
1988
Earlier work this paper cites.
R. Dijkgraaf, C. Vafa, E. P. Verlinde, and H. L. Verlinde, “The Operator Algebra of Orbifold Models,” Commun. Math. Phys
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.
O. Aharony and E. Witten, “Anti-de Sitter space and the center of the gauge group,” JHEP
1998
Earlier work this paper cites.
E. Witten, “AdS/CFT correspondence and topological field theory,” JHEP
1998
Earlier work this paper cites.
J. M. Maldacena, “The large N N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys
1998
Earlier work this paper cites.
J. M. Maldacena, “Wilson loops in large N N field theories,” Phys. Rev. Lett
1998
Earlier work this paper cites.
V. B. Petkova and J. B. Zuber, “Generalized twisted partition functions,” Phys. Lett. B
2001
Earlier work this paper cites.
S.-J. Rey and J.-T. Yee, “Macroscopic strings as heavy quarks in large N N gauge theory and anti-de Sitter supergravity,” Eur. Phys. J. C
2001
Earlier work this paper cites.
J. Fuchs, I. Runkel, and C. Schweigert, “TFT construction of RCFT correlators 1. Partition functions,” Nucl. Phys. B
2002
Earlier work this paper cites.
Cambridge University Press, 2002
A. Hatcher, Algebraic Topology · 2002
Earlier work this paper cites.

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J. Frohlich, J. Fuchs, I. Runkel, and C. Schweigert, “Kramers-Wannier duality from conformal defects,” Phys. Rev. Lett
2004
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J. Fröhlich, J. Fuchs, I. Runkel, and C. Schweigert, “Correspondences of ribbon categories,” Adv. Math
2006
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J. Frohlich, J. Fuchs, I. Runkel, and C. Schweigert, “Duality and defects in rational conformal field theory,” Nucl. Phys. B
2007
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Z. Komargodski, K. Ohmori, K. Roumpedakis, and S. Seifnashri, “Symmetries and strings of adjoint QCD 2
Original
2008
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D. Gaiotto and J. Kulp, “Orbifold groupoids,” JHEP
Original
2008
Cited alongside, same era.

Then

D. Gaiotto, A. Kapustin, N. Seiberg, and B. Willett, “Generalized Global Symmetries,” JHEP
Original
2015
Later among the works it cites.
S. M. Kravec, J. McGreevy, and B. Swingle, “All-fermion electrodynamics and fermion number anomaly inflow,” Phys. Rev. D
Original
2015
Later among the works it cites.
N. Carqueville and I. Runkel, “Orbifold completion of defect bicategories,” Quantum Topol
Original
2016
Later among the works it cites.
L. Bhardwaj and Y. Tachikawa, “On finite symmetries and their gauging in two dimensions,” JHEP
Original
2018
Later among the works it cites.
D. M. Hofman and N. Iqbal, “Generalized global symmetries and holography,” SciPost Phys
Original

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2022

The holography of non-invertible self-duality symmetries

Antinucci, Andrea, Benini, Francesco, Copetti, Christian et al.

Understand

We study how non-invertible self-duality defects arise in theories with a holographic dual.

We focus on the paradigmatic example of $\mathfrak{su}(N)$ $\mathcal{N} = 4$ SYM.
The theory is known to have non-invertible duality and triality defects at $\tau =i$ and $\tau = e^{2 \pi i /3}$, respectively.
At these points in the gravitational moduli space, the gauged $SL(2,\mathbb{Z})$ duality symmetry of type IIB string theory is spontaneously broken to a finite subgroup $G$, giving rise to a discrete emergent $G$ gauge field.

Built on

G. Arias-Tamargo, A. Bourget, A. Pini, and D. Rodríguez-Gómez, “Discrete gauge theories of charge conjugation,” Nucl. Phys. B
Original
1903
Earlier work this paper cites.
D. Gaiotto and T. Johnson-Freyd, “Condensations in higher categories,” arXiv:1905.09566 [math.CT]
Original
1905
Earlier work this paper cites.
R. Thorngren and Y. Wang, “Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases,” arXiv:1912.02817 [hep-th]
Original
1912
Earlier work this paper cites.
J. H. C. Whitehead, “On simply connected, 4-dimensional polyhedra,” Comm. Math. Helv
1949
Earlier work this paper cites.
Springer-Verlag, 1985
J. Cheeger and J. Simons, “Differential Characters and Geometric Invariants,” in Geometry and Topology · 1985
Earlier work this paper cites.
E. P. Verlinde, “Fusion Rules and Modular Transformations in 2D Conformal Field Theory,” Nucl. Phys. B
1988
Earlier work this paper cites.
R. Dijkgraaf, C. Vafa, E. P. Verlinde, and H. L. Verlinde, “The Operator Algebra of Orbifold Models,” Commun. Math. Phys
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.
O. Aharony and E. Witten, “Anti-de Sitter space and the center of the gauge group,” JHEP
1998
Earlier work this paper cites.
E. Witten, “AdS/CFT correspondence and topological field theory,” JHEP
1998
Earlier work this paper cites.
J. M. Maldacena, “The large N N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys
1998
Earlier work this paper cites.
J. M. Maldacena, “Wilson loops in large N N field theories,” Phys. Rev. Lett
1998
Earlier work this paper cites.
V. B. Petkova and J. B. Zuber, “Generalized twisted partition functions,” Phys. Lett. B
2001
Earlier work this paper cites.
S.-J. Rey and J.-T. Yee, “Macroscopic strings as heavy quarks in large N N gauge theory and anti-de Sitter supergravity,” Eur. Phys. J. C
2001
Earlier work this paper cites.
J. Fuchs, I. Runkel, and C. Schweigert, “TFT construction of RCFT correlators 1. Partition functions,” Nucl. Phys. B
2002
Earlier work this paper cites.
Cambridge University Press, 2002
A. Hatcher, Algebraic Topology · 2002
Earlier work this paper cites.

Similar

J. Frohlich, J. Fuchs, I. Runkel, and C. Schweigert, “Kramers-Wannier duality from conformal defects,” Phys. Rev. Lett
2004
Cited alongside, same era.
J. Fröhlich, J. Fuchs, I. Runkel, and C. Schweigert, “Correspondences of ribbon categories,” Adv. Math
2006
Cited alongside, same era.
J. Frohlich, J. Fuchs, I. Runkel, and C. Schweigert, “Duality and defects in rational conformal field theory,” Nucl. Phys. B
2007
Cited alongside, same era.
Z. Komargodski, K. Ohmori, K. Roumpedakis, and S. Seifnashri, “Symmetries and strings of adjoint QCD 2
Original
2008
Cited alongside, same era.
D. Gaiotto and J. Kulp, “Orbifold groupoids,” JHEP
Original
2008
Cited alongside, same era.

Then

D. Gaiotto, A. Kapustin, N. Seiberg, and B. Willett, “Generalized Global Symmetries,” JHEP
Original
2015
Later among the works it cites.
S. M. Kravec, J. McGreevy, and B. Swingle, “All-fermion electrodynamics and fermion number anomaly inflow,” Phys. Rev. D
Original
2015
Later among the works it cites.
N. Carqueville and I. Runkel, “Orbifold completion of defect bicategories,” Quantum Topol
Original
2016
Later among the works it cites.
L. Bhardwaj and Y. Tachikawa, “On finite symmetries and their gauging in two dimensions,” JHEP
Original
2018
Later among the works it cites.
D. M. Hofman and N. Iqbal, “Generalized global symmetries and holography,” SciPost Phys
Original

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

A. J. Hahn, “Quadratic Forms over ℤ \mathbb{Z} from Diophantus to the 290 Theorem,” Adv. Appl. Clifford Algebras

2008

Cited alongside, same era.

T. Banks and N. Seiberg, “Symmetries and Strings in Field Theory and Gravity,” Phys. Rev. D

Original

2011

Cited alongside, same era.

A. Kapustin and N. Saulina, “Topological boundary conditions in abelian Chern-Simons theory,” Nucl. Phys. B

Original

2011

Cited alongside, same era.

Notes and video available online

G. W. Moore, “Minicourse of three lectures on Generalized Abelian Gauge Theory, Self-Duality, and Differential Cohomology.” Delivered at the Workshop on Differential Cohomology, Simons Center for Geometry and Physics, Stonybrook, Jan. 11–14, 2011 · 2011

Cited alongside, same era.

D. Gaiotto, “ 𝒩 = 2 \mathcal{N}{=}2 dualities,” JHEP

Original

2012

Cited alongside, same era.

O. Aharony, N. Seiberg, and Y. Tachikawa, “Reading between the lines of four-dimensional gauge theories,” JHEP

Original

2013

Cited alongside, same era.

J. Fuchs, C. Schweigert, and A. Valentino, “Bicategories for boundary conditions and for surface defects in 3-d TFT,” Commun. Math. Phys

Original

2013