Built on

P. C. Aichelburg and R. U. Sexl, “On the Gravitational field of a massless particle,” Gen. Rel. Grav. 2
1971
Earlier work this paper cites.
M. Hotta and M. Tanaka, “Shock wave geometry with nonvanishing cosmological constant,” Class. Quant. Grav. 10
1993
Earlier work this paper cites.
H. Osborn and A. C. Petkou, “Implications of conformal invariance in field theories for general dimensions,” Annals Phys. 231
1994
Earlier work this paper cites.
G. T. Horowitz and N. Itzhaki, “Black holes, shock waves, and causality in the AdS / CFT correspondence,” JHEP 9902
1999
Earlier work this paper cites.
E. D’Hoker, D. Z. Freedman, S. D. Mathur, A. Matusis and L. Rastelli, “Graviton exchange and complete four point functions in the AdS / CFT correspondence,” Nucl. Phys. B 562
1999
Earlier work this paper cites.
E. D’Hoker, D. Z. Freedman and L. Rastelli, “AdS / CFT four point functions: How to succeed at z integrals without really trying,” Nucl. Phys. B 562
1999
Earlier work this paper cites.
S. Gao and R. M. Wald, “Theorems on gravitational time delay and related issues,” Class. Quant. Grav. 17
2000
Earlier work this paper cites.
S. de Haro, S. N. Solodukhin and K. Skenderis, “Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence,” Commun. Math. Phys. 217
2001
Earlier work this paper cites.
K. Skenderis, “Asymptotically anti-de Sitter spacetimes and their stress energy tensor,” Int. J. Mod. Phys. A 16
2001
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal four point functions and the operator product expansion,” Nucl. Phys. B 599
Original
2001
Earlier work this paper cites.
K. Skenderis, “Lecture notes on holographic renormalization,” Class. Quant. Grav. 19
2002
Earlier work this paper cites.
M. Kleban, J. McGreevy and S. D. Thomas, “Implications of bulk causality for holography in AdS,” JHEP 0403
2004
Earlier work this paper cites.
L. Cornalba, M. S. Costa, J. Penedones and R. Schiappa, “Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point Functions,” JHEP 0708
2007
Earlier work this paper cites.
L. Cornalba, M. S. Costa, J. Penedones and R. Schiappa, “Eikonal Approximation in AdS/CFT: Conformal Partial Waves and Finite N Four-Point Functions,” Nucl. Phys. B 767
2007
Earlier work this paper cites.
L. Cornalba, M. S. Costa and J. Penedones, “Eikonal approximation in AdS/CFT: Resumming the gravitational loop expansion,” JHEP 0709
Original
2007
Earlier work this paper cites.
R. C. Brower, J. Polchinski, M. J. Strassler and C. I. Tan, “The Pomeron and gauge/string duality,” JHEP 0712
2007
Earlier work this paper cites.

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Then

P. Caputa, M. Nozaki and T. Takayanagi, “Entanglement of local operators in large-N conformal field theories,” PTEP 2014
Original
2014
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2015
Later among the works it cites.
D. A. Roberts, D. Stanford and L. Susskind, “Localized shocks,” JHEP 1503
Original
2015
Later among the works it cites.
W. R. Kelly and A. C. Wall, “Holographic proof of the averaged null energy condition,” Phys. Rev. D 90
Original
2015
Later among the works it cites.
G. Papallo and H. S. Reall, “Graviton time delay and a speed limit for small black holes in Einstein-Gauss-Bonnet theory,” JHEP 1511

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2017

Shockwaves from the Operator Product Expansion

Afkhami-Jeddi, Nima, Hartman, Thomas, Kundu, Sandipan et al.

Understand

We clarify and further explore the CFT dual of shockwave geometries in Anti-de Sitter.

The shockwave is dual to a CFT state produced by a heavy local operator inserted at a complex point.
It can also be created by light operators, smeared over complex positions.
We describe the dictionary in both cases, and compare to various calculations, old and new.

Built on

P. C. Aichelburg and R. U. Sexl, “On the Gravitational field of a massless particle,” Gen. Rel. Grav. 2
1971
Earlier work this paper cites.
M. Hotta and M. Tanaka, “Shock wave geometry with nonvanishing cosmological constant,” Class. Quant. Grav. 10
1993
Earlier work this paper cites.
H. Osborn and A. C. Petkou, “Implications of conformal invariance in field theories for general dimensions,” Annals Phys. 231
1994
Earlier work this paper cites.
G. T. Horowitz and N. Itzhaki, “Black holes, shock waves, and causality in the AdS / CFT correspondence,” JHEP 9902
1999
Earlier work this paper cites.
E. D’Hoker, D. Z. Freedman, S. D. Mathur, A. Matusis and L. Rastelli, “Graviton exchange and complete four point functions in the AdS / CFT correspondence,” Nucl. Phys. B 562
1999
Earlier work this paper cites.
E. D’Hoker, D. Z. Freedman and L. Rastelli, “AdS / CFT four point functions: How to succeed at z integrals without really trying,” Nucl. Phys. B 562
1999
Earlier work this paper cites.
S. Gao and R. M. Wald, “Theorems on gravitational time delay and related issues,” Class. Quant. Grav. 17
2000
Earlier work this paper cites.
S. de Haro, S. N. Solodukhin and K. Skenderis, “Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence,” Commun. Math. Phys. 217
2001
Earlier work this paper cites.
K. Skenderis, “Asymptotically anti-de Sitter spacetimes and their stress energy tensor,” Int. J. Mod. Phys. A 16
2001
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal four point functions and the operator product expansion,” Nucl. Phys. B 599
Original
2001
Earlier work this paper cites.
K. Skenderis, “Lecture notes on holographic renormalization,” Class. Quant. Grav. 19
2002
Earlier work this paper cites.
M. Kleban, J. McGreevy and S. D. Thomas, “Implications of bulk causality for holography in AdS,” JHEP 0403
2004
Earlier work this paper cites.
L. Cornalba, M. S. Costa, J. Penedones and R. Schiappa, “Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point Functions,” JHEP 0708
2007
Earlier work this paper cites.
L. Cornalba, M. S. Costa, J. Penedones and R. Schiappa, “Eikonal Approximation in AdS/CFT: Conformal Partial Waves and Finite N Four-Point Functions,” Nucl. Phys. B 767
2007
Earlier work this paper cites.
L. Cornalba, M. S. Costa and J. Penedones, “Eikonal approximation in AdS/CFT: Resumming the gravitational loop expansion,” JHEP 0709
Original
2007
Earlier work this paper cites.
R. C. Brower, J. Polchinski, M. J. Strassler and C. I. Tan, “The Pomeron and gauge/string duality,” JHEP 0712
2007
Earlier work this paper cites.