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In this paper we use the AdS/CFT correspondence to refine and then establish a set of old conjectures about symmetries in quantum gravity.
Princeton University Press, 1951
N. E. Steenrod, The topology of fibre bundles · 1951
Earlier work this paper cites.
C. W. Misner and J. A. Wheeler, Classical physics as geometry: gravitation, electromagnetism, unquantized charge, and mass as properties of curved empty space
1957
Earlier work this paper cites.
Princeton University Press, 1963
J. Milner, Morse theory · 1963
Earlier work this paper cites.
S. R. Coleman and J. Mandula, All possible symmetries of the S matrix
1967
Earlier work this paper cites.
S. Doplicher, R. Haag, and J. E. Roberts, Fields, observables and gauge transformations I
1969
Earlier work this paper cites.
S. Doplicher, R. Haag, and J. E. Roberts, Fields, observables and gauge transformations. 2
1969
Earlier work this paper cites.
S. L. Adler, Axial vector vertex in spinor electrodynamics
1969
Earlier work this paper cites.
J. S. Bell and R. Jackiw, A PCAC puzzle: π 0 → γ γ \pi_{0}\rightarrow\gamma\gamma in the sigma model
1969
Earlier work this paper cites.
F. J. Wegner, Duality in generalized Ising models and phase transitions without local order parameters
1971
Earlier work this paper cites.
D. J. Gross and R. Jackiw, Effect of anomalies on quasirenormalizable theories
1972
Earlier work this paper cites.
R. Delbourgo and A. Salam, The gravitational correction to PCAC
1972
Earlier work this paper cites.
J. D. Bekenstein, Black holes and entropy
1973
Earlier work this paper cites.
D. Buchholz, Product states for local algebras
1974
Earlier work this paper cites.
K. G. Wilson, Confinement of quarks
1974
Earlier work this paper cites.
M. Kalb and P. Ramond, Classical direct interstring action
1974
Earlier work this paper cites.
S. W. Hawking, Particle creation by black holes
1975
Earlier work this paper cites.
T. T. Wu and C. N. Yang, Concept of nonintegrable phase factors and global formulation of gauge fields
1975
Earlier work this paper cites.
A. M. Polyakov, Compact gauge fields and the infrared catastrophe
1975
Earlier work this paper cites.
J. B. Kogut and L. Susskind, Hamiltonian formulation of Wilson’s lattice gauge theories
1975
Earlier work this paper cites.
R. Haag, J. T. Lopuszanski, and M. Sohnius, All possible generators of supersymmetries of the S matrix
1975
Earlier work this paper cites.
J. Villain, Theory of one-dimensional and two-dimensional magnets with an easy magnetization plane. 2. The Planar, classical, two-dimensional magnet
1975
Earlier work this paper cites.
G. ’t Hooft, Symmetry breaking through Bell-Jackiw anomalies
1976
Earlier work this paper cites.
M. Creutz, Gauge fixing, the transfer matrix, and confinement on a lattice
1976
Earlier work this paper cites.
C. Montonen and D. I. Olive, Magnetic monopoles as gauge particles?
1977
Earlier work this paper cites.
R. Savit, Topological excitations in U ( 1 ) U(1) invariant theories
1977
Earlier work this paper cites.
A. D’Adda, M. Luscher, and P. Di Vecchia, A 1 / n 1/n expandable series of nonlinear sigma models with instantons
1978
Earlier work this paper cites.
A. M. Polyakov, Thermal properties of gauge fields and quark liberation
1978
Earlier work this paper cites.
G. ’t Hooft, On the phase transition towards permanent quark confinement
1978
Earlier work this paper cites.
E. H. Fradkin and L. Susskind, Order and disorder in gauge systems and magnets
1978
Earlier work this paper cites.
E. Witten, Instantons, the quark model, and the 1 / n 1/n expansion
1979
Earlier work this paper cites.
S. R. Coleman, The uses of instantons
1979
Earlier work this paper cites.
E. H. Fradkin and S. H. Shenker, Phase diagrams of lattice gauge theories with Higgs fields
1979
Earlier work this paper cites.
T. Banks and E. Rabinovici, Finite Temperature Behavior of the Lattice Abelian Higgs Model
1979
Earlier work this paper cites.
G. ’t Hooft, Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking
1980
Earlier work this paper cites.
Y. Frishman, A. Schwimmer, T. Banks, and S. Yankielowicz, The axial anomaly and the bound state spectrum in confining theories
1981
Earlier work this paper cites.
S. Doplicher, Local aspects of superselection rules
1982
Earlier work this paper cites.
S. J. Summers, Normal product states for fermions and twisted duality for CCR and CAR type algebras with application to the Yukawa-2 quantum field model
1982
Earlier work this paper cites.
S. R. Coleman and B. Grossman, ’t Hooft’s consistency condition as a consequence of analyticity and unitarity
1982
Earlier work this paper cites.
E. Witten, An S U ( 2 ) SU(2) anomaly
1982
Earlier work this paper cites.
P. Orland, Instantons and disorder in antisymmetric tensor gauge fields
1982
Earlier work this paper cites.
S. Doplicher and R. Longo, Local aspects of superselection rules. II
1983
Earlier work this paper cites.
C. D’Antoni and R. Longo, Interpolation by type I factors and the flip automorphism
1983
Earlier work this paper cites.
R. Stora, Algebraic structure and topological origin of anomalies
1983
Earlier work this paper cites.
[,361(1983)]
B. Zumino, Chiral anomalies and differential geometry · 1983
Earlier work this paper cites.
L. Alvarez-Gaume and E. Witten, Gravitational anomalies
1984
Earlier work this paper cites.
L. Alvarez-Gaume and P. H. Ginsparg, The topological meaning of nonabelian anomalies
1984
Earlier work this paper cites.
L. D. Faddeev and S. L. Shatashvili, Algebraic and Hamiltonian methods in the theory of nonabelian anomalies
1984
Earlier work this paper cites.
T. Inami and H. Ooguri, Nambu-Goldstone bosons in curved space-time
1985
Earlier work this paper cites.
J. Manes, R. Stora, and B. Zumino, Algebraic study of chiral anomalies
1985
Earlier work this paper cites.
M. Dubois-Violette, M. Talon, and C. M. Viallet, BRS algebras: analysis of the consistency equations in gauge theory
1985
Earlier work this paper cites.
M. Henneaux and C. Teitelboim, Asymptotically anti-de Sitter spaces
1985
Earlier work this paper cites.
O. Alvarez, Topological quantization and cohomology
1985
Earlier work this paper cites.
D. Buchholz, S. Doplicher, and R. Longo, On Noether’s theorem in quantum field theory
1986
Earlier work this paper cites.
D. Buchholz and E. H. Wichmann, Causal independence and the energy level density of states in local quantum field theory
1986
Earlier work this paper cites.
G. ’t Hooft, How instantons solve the U ( 1 ) U(1) problem
1986
Earlier work this paper cites.
D. Buchholz and P. Jacobi, On the nuclearity condition for massless fields
1987
Earlier work this paper cites.
D. Buchholz, K. Fredenhagen, and C. D’Antoni, The universal structure of local algebras
1987
Earlier work this paper cites.
A. Achucarro and P. K. Townsend, A Chern-Simons action for three-dimensional anti-de Sitter supergravity theories
1987
Earlier work this paper cites.
T. Banks and L. J. Dixon, Constraints on string vacua with space-time supersymmetry
1988
Cited alongside, same era.
R. Dijkgraaf and E. Witten, Topological gauge theories and group cohomology
1990
Cited alongside, same era.
F. Brandt, N. Dragon, and M. Kreuzer, Completeness and nontriviality of the solutions of the consistency conditions
1990
Cited alongside, same era.
J. A. Dixon, Calculation of BRS cohomology with spectral sequences
1991
Cited alongside, same era.
M. Kamionkowski and J. March-Russell, Planck scale physics and the Peccei-Quinn mechanism
1992
Cited alongside, same era.
M. Dubois-Violette, M. Henneaux, M. Talon, and C.-M. Viallet, General solution of the consistency equation
1992
2012
Later among the works it cites.
I. Heemskerk, Construction of bulk fields with gauge redundancy
2012
Later among the works it cites.
I. Heemskerk, D. Marolf, J. Polchinski, and J. Sully, Bulk and transhorizon measurements in AdS/CFT
2012
Later among the works it cites.
2012
Later among the works it cites.
Cambridge University Press, 2013
S. Weinberg, The quantum theory of fields. Vol. 2: Modern applications · 2013
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Cited alongside, same era.
M. G. Alford and J. March-Russell, New order parameters for nonAbelian gauge theories
1992
Cited alongside, same era.
A. Sen, Strong - weak coupling duality in four-dimensional string theory
1994
Cited alongside, same era.
C. Vafa and E. Witten, A strong coupling test of S duality
1994
Cited alongside, same era.
A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy
1996
Cited alongside, same era.
G. T. Horowitz and J. Polchinski, A correspondence principle for black holes and strings
1997
Cited alongside, same era.
A. Strominger, Black hole entropy from near horizon microstates
1998
Cited alongside, same era.
Later among the works it cites.
2013
Later among the works it cites.
O. Aharony, M. Berkooz, D. Tong, and S. Yankielowicz, Confinement in anti-de Sitter space
2013
Later among the works it cites.
Springer Science & Business Media, 2013
A. W. Knapp, Lie groups beyond an introduction · 2013
Later among the works it cites.
2013
Later among the works it cites.
D. Kabat and G. Lifschytz, CFT representation of interacting bulk gauge fields in AdS
2013
Later among the works it cites.
J. Maldacena and A. Zhiboedov, Constraining conformal field theories with a higher spin symmetry
2013
Later among the works it cites.
F. Feruglio, C. Hagedorn, and R. Ziegler, Lepton mixing parameters from discrete and CP Symmetries
2013
Later among the works it cites.
M. Holthausen, M. Lindner, and M. A. Schmidt, CP and discrete flavour symmetries
2013
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
C. Cheung and G. N. Remmen, Naturalness and the weak gravity conjecture
2014
Later among the works it cites.
2014
Later among the works it cites.
D. S. Freed, Anomalies and invertible field theories
2014
Later among the works it cites.
D. Kabat and G. Lifschytz, Decoding the hologram: Scalar fields interacting with gravity
2014
Later among the works it cites.
2014
Later among the works it cites.
A. Kapustin and N. Seiberg, Coupling a QFT to a TQFT and duality
2014
Later among the works it cites.
A. E. Lipstein and R. A. Reid-Edwards, Lattice gerbe theory
2014
Later among the works it cites.
D. A. Johnston, ℤ 2 \mathbb{Z}_{2} lattice gerbe theory
2014
Later among the works it cites.
2014
Later among the works it cites.
A. Almheiri, X. Dong, and D. Harlow, Bulk locality and quantum error correction in AdS/CFT
2015
Later among the works it cites.
D. Gaiotto, A. Kapustin, N. Seiberg, and B. Willett, Generalized global symmetries
2015
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
F. Benini, K. Hristov, and A. Zaffaroni, Black hole microstates in AdS 4
2016
Later among the works it cites.
2016
Later among the works it cites.
D. Harlow, Wormholes, emergent gauge fields, and the weak gravity conjecture
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
Particle Data Group
2016
Later among the works it cites.
W. Donnelly and S. B. Giddings, Diffeomorphism-invariant observables and their nonlocal algebra
2016
Later among the works it cites.
2016
Later among the works it cites.
W. Donnelly, D. Marolf, and E. Mintun, Combing gravitational hair in 2 + 1 dimensions
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
B. Yoshida, Topological phases with generalized global symmetries
2016
Later among the works it cites.
D. Harlow, Jerusalem lectures on black holes and quantum information
2016
Later among the works it cites.
2016
Later among the works it cites.
B. Heidenreich, M. Reece, and T. Rudelius, Evidence for a sublattice weak gravity conjecture
2017
Later among the works it cites.
2017
Later among the works it cites.
D. Tong, Line operators in the Standard Model
2017
Later among the works it cites.
D. Gaiotto, A. Kapustin, Z. Komargodski, and N. Seiberg, Theta, time Reversal, and temperature
2017
Later among the works it cites.
J. Maldacena, D. Simmons-Duffin, and A. Zhiboedov, Looking for a bulk point
2017
Later among the works it cites.
O. Aharony, L. F. Alday, A. Bissi, and E. Perlmutter, Loops in AdS from conformal field theory
2017
Later among the works it cites.
G. Giribet, Violating the string winding number maximally in anti-de Sitter space
2017
Later among the works it cites.
2017
Later among the works it cites.
H. Ooguri and C. Vafa, Non-supersymmetric A d S AdS and the swampland
2017
Later among the works it cites.
E. Witten, Symmetry and emergence
2018
Closest in time.
URL:https://mathoverflow.net/q/309050 (version: 2018-08-24)
D. (https://mathoverflow.net/users/98045/danielharlow), “Finite-dimensional faithful unitary representations of s l ( 2 , z ) sl(2,z) .” MathOverflow · 2018
Closest in time.
D. Harlow and H. Ooguri, Constraints on symmetry from holography
2019
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