Built on

E. Palti, “The Swampland: Introduction and Review,” Fortsch. Phys. 67
Original
1903
Earlier work this paper cites.
J. McNamara and C. Vafa, “Cobordism Classes and the Swampland,” arXiv:1909.10355 [hep-th]
Original
1909
Earlier work this paper cites.
S. W. Hawking, “Space-Time Foam,” Nucl. Phys. B 144
1978
Earlier work this paper cites.
E. Witten, “Global Gravitational Anomalies,” Commun. Math. Phys. 100
1985
Earlier work this paper cites.
T. Banks and L. J. Dixon, “Constraints on String Vacua with Space-Time Supersymmetry,” Nucl. Phys. B 307
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. 123
1989
Earlier work this paper cites.
R. Dijkgraaf and E. Witten, “Topological Gauge Theories and Group Cohomology,” Commun. Math. Phys. 129
1990
Earlier work this paper cites.
J. W. Barrett, “Holonomy and path structures in general relativity and Yang-Mills theory,” Int. J. Theor. Phys. 30
1991
Earlier work this paper cites.
A. Caetano and R. F. Picken, “An Axiomatic definition of holonomy,” Int. J. Math. 5
1994
Earlier work this paper cites.
R. Kallosh, A. D. Linde, D. A. Linde and L. Susskind, “Gravity and global symmetries,” Phys. Rev. D 52
1995
Earlier work this paper cites.
A. Y. Kitaev, “Fault tolerant quantum computation by anyons,” Annals Phys. 303
2003
Earlier work this paper cites.
J. Polchinski, Int. J. Mod. Phys. A 19S1
2004
Earlier work this paper cites.

Similar

H. W. Braden and N. A. Nekrasov, “Space-time foam from noncommutative instantons,” Commun. Math. Phys. 249
2004
Cited alongside, same era.
T. Rudelius and S. H. Shao, “Topological Operators and Completeness of Spectrum in Discrete Gauge Theories,” JHEP 12
Original
2006
Cited alongside, same era.
Y. Hidaka, M. Nitta and R. Yokokura, “Higher-form symmetries and 3-group in axion electrodynamics,” Phys. Lett. B 808
Original
2006
Cited alongside, same era.
N. Arkani-Hamed, L. Motl, A. Nicolis and C. Vafa, “The String landscape, black holes and gravity as the weakest force,” JHEP 06
2007
Cited alongside, same era.
H. Ooguri and C. Vafa, “On the Geometry of the String Landscape and the Swampland,” Nucl. Phys. B 766
2007
Cited alongside, same era.

Then

T. D. Brennan and C. Cordova, “Axions, Higher-Groups, and Emergent Symmetry,” arXiv:2011.09600 [hep-th]
Original
2011
Later among the works it cites.
A. Belin, J. De Boer, P. Nayak and J. Sonner, “Charged Eigenstate Thermalization, Euclidean Wormholes and Global Symmetries in Quantum Gravity,” arXiv:2012.07875 [hep-th]
Original
2012
Later among the works it cites.
B. Heidenreich, J. McNamara, M. Montero, M. Reece, T. Rudelius and I. Valenzuela, “Chern-Weil Global Symmetries and How Quantum Gravity Avoids Them,” arXiv:2012.00009 [hep-th]
Original
2012
Later among the works it cites.
M. Dierigl and J. J. Heckman, “Swampland cobordism conjecture and non-Abelian duality groups,” Phys. Rev. D 103
Original
2012
Later among the works it cites.

Beyond the bibliography

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

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Reading the bibliography…

2021

Gravitational Solitons and Completeness

McNamara, Jacob

Understand

We show that gravitational solitons naturally carry gauge charges beyond those of any local quantum field.

The effect of these charged excitations is to break a non-invertible symmetry to its maximal group-like sub-symmetry.
Taking these charges into account, we show that the Completeness Hypothesis follows from the breaking of the remaining group-like symmetry.
We generalize this picture to an arbitrary semisimple tensor category of particle charges, showing that the charges of gravitational solitons form the adjoint subcategory.

Built on

E. Palti, “The Swampland: Introduction and Review,” Fortsch. Phys. 67
Original
1903
Earlier work this paper cites.
J. McNamara and C. Vafa, “Cobordism Classes and the Swampland,” arXiv:1909.10355 [hep-th]
Original
1909
Earlier work this paper cites.
S. W. Hawking, “Space-Time Foam,” Nucl. Phys. B 144
1978
Earlier work this paper cites.
E. Witten, “Global Gravitational Anomalies,” Commun. Math. Phys. 100
1985
Earlier work this paper cites.
T. Banks and L. J. Dixon, “Constraints on String Vacua with Space-Time Supersymmetry,” Nucl. Phys. B 307
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. 123
1989
Earlier work this paper cites.
R. Dijkgraaf and E. Witten, “Topological Gauge Theories and Group Cohomology,” Commun. Math. Phys. 129
1990
Earlier work this paper cites.
J. W. Barrett, “Holonomy and path structures in general relativity and Yang-Mills theory,” Int. J. Theor. Phys. 30
1991
Earlier work this paper cites.
A. Caetano and R. F. Picken, “An Axiomatic definition of holonomy,” Int. J. Math. 5
1994
Earlier work this paper cites.
R. Kallosh, A. D. Linde, D. A. Linde and L. Susskind, “Gravity and global symmetries,” Phys. Rev. D 52
1995
Earlier work this paper cites.
A. Y. Kitaev, “Fault tolerant quantum computation by anyons,” Annals Phys. 303
2003
Earlier work this paper cites.
J. Polchinski, Int. J. Mod. Phys. A 19S1
2004
Earlier work this paper cites.

Similar

H. W. Braden and N. A. Nekrasov, “Space-time foam from noncommutative instantons,” Commun. Math. Phys. 249
2004
Cited alongside, same era.
T. Rudelius and S. H. Shao, “Topological Operators and Completeness of Spectrum in Discrete Gauge Theories,” JHEP 12
Original
2006
Cited alongside, same era.
Y. Hidaka, M. Nitta and R. Yokokura, “Higher-form symmetries and 3-group in axion electrodynamics,” Phys. Lett. B 808
Original
2006
Cited alongside, same era.
N. Arkani-Hamed, L. Motl, A. Nicolis and C. Vafa, “The String landscape, black holes and gravity as the weakest force,” JHEP 06
2007
Cited alongside, same era.
H. Ooguri and C. Vafa, “On the Geometry of the String Landscape and the Swampland,” Nucl. Phys. B 766
2007
Cited alongside, same era.

Then

T. D. Brennan and C. Cordova, “Axions, Higher-Groups, and Emergent Symmetry,” arXiv:2011.09600 [hep-th]
Original
2011
Later among the works it cites.
A. Belin, J. De Boer, P. Nayak and J. Sonner, “Charged Eigenstate Thermalization, Euclidean Wormholes and Global Symmetries in Quantum Gravity,” arXiv:2012.07875 [hep-th]
Original
2012
Later among the works it cites.
B. Heidenreich, J. McNamara, M. Montero, M. Reece, T. Rudelius and I. Valenzuela, “Chern-Weil Global Symmetries and How Quantum Gravity Avoids Them,” arXiv:2012.00009 [hep-th]
Original
2012
Later among the works it cites.
M. Dierigl and J. J. Heckman, “Swampland cobordism conjecture and non-Abelian duality groups,” Phys. Rev. D 103
Original
2012
Later among the works it cites.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

H. Casini, M. Huerta, J. M. Magan and D. Pontello, “Entropic order parameters for the phases of QFT,” JHEP 04

Original

2008

Cited alongside, same era.

Y. Hidaka, M. Nitta and R. Yokokura, “Global 3-group symmetry and ’t Hooft anomalies in axion electrodynamics,” JHEP 01

Original

2009

Cited alongside, same era.

D. Harlow and E. Shaghoulian, “Global symmetry, Euclidean gravity, and the black hole information problem,” JHEP 04

Original

2010

Cited alongside, same era.

T. Banks and N. Seiberg, “Symmetries and Strings in Field Theory and Gravity,” Phys. Rev. D 83

Original

2011

Cited alongside, same era.

Y. Chen and H. W. Lin, “Signatures of global symmetry violation in relative entropies and replica wormholes,” JHEP 03

Original

2011

Cited alongside, same era.

P. S. Hsin, L. V. Iliesiu and Z. Yang, “A violation of global symmetries from replica wormholes and the fate of black hole remnants,” arXiv:2011.09444 [hep-th]

Original

2011

Cited alongside, same era.

K. Yonekura, “Topological violation of global symmetries in quantum gravity,” arXiv:2011.11868 [hep-th]

Original

2011

Cited alongside, same era.

P. Etingof, S. Gelaki, D. Nikshych and V. Ostrik, “Tensor Categories,” Mathematical Surveys and Monographs 205

2016

Later among the works it cites.

T. D. Brennan, F. Carta and C. Vafa, “The String Landscape, the Swampland, and the Missing Corner,” PoS TASI2017, 015

Original

2017

Later among the works it cites.

C. M. Chang, Y. H. Lin, S. H. Shao, Y. Wang and X. Yin, “Topological Defect Lines and Renormalization Group Flows in Two Dimensions,” JHEP 01

Original

2019

Later among the works it cites.

C. Córdova, T. T. Dumitrescu and K. Intriligator, “Exploring 2-Group Global Symmetries,” JHEP 02

Original

2019

Later among the works it cites.

D. Harlow and H. Ooguri, Commun. Math. Phys. 383

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2021

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T. Johnson-Freyd, “Semisimple Higher Categories,” Western Hemisphere Colloquium on Geometry and Physics (Jul. 26, 2021), available at https://youtu.be/-20-lxcCOiQ

2021

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X.-G. Wen, “Review on Swampland in Condensed Matter Physics,” Strings 2021, ICTP-SAIFR (Jul. 1, 2021), available at https://youtu.be/Jf6XrzeIVzM

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D. S. Freed and M. J. Hopkins, “Reflection positivity and invertible topological phases,” Geom. Topol. 25

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2021

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