Built on

B. Zwiebach, “Curvature Squared Terms and String Theories,” Phys. Lett
1985
Earlier work this paper cites.
D. J. Gross and E. Witten, “Superstring Modifications of Einstein’s Equations,” Nucl. Phys. B
1986
Earlier work this paper cites.
D. J. Gross and J. H. Sloan, “The Quartic Effective Action for the Heterotic String,” Nucl. Phys. B
1987
Earlier work this paper cites.
H. Osborn and A. C. Petkou, “Implications of conformal invariance in field theories for general dimensions,” Annals Phys
1994
Earlier work this paper cites.
A. A. Tseytlin, “Heterotic type I superstring duality and low-energy effective actions,” Nucl. Phys. B
1996
Earlier work this paper cites.
A. Strominger and C. Vafa, “Microscopic origin of the Bekenstein-Hawking entropy,” Phys. Lett. B
1998
Earlier work this paper cites.
M. Henningson and K. Skenderis, “The Holographic Weyl anomaly,” JHEP
1998
Earlier work this paper cites.
A. Strominger, “Black hole entropy from near horizon microstates,” JHEP
1998
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L. Susskind, “Holography in the flat space limit,” AIP Conf. Proc
1999
Earlier work this paper cites.
M. Blau, K. S. Narain and E. Gava, “On subleading contributions to the AdS / CFT trace anomaly,” JHEP
1999
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S. Nojiri and S. D. Odintsov, “On the conformal anomaly from higher derivative gravity in AdS / CFT correspondence,” Int. J. Mod. Phys. A
2000
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S. B. Giddings, “Flat space scattering and bulk locality in the AdS / CFT correspondence,” Phys. Rev. D
2000
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal four point functions and the operator product expansion,” Nucl. Phys. B
2001
Earlier work this paper cites.
P. Kovtun, D. T. Son and A. O. Starinets, “Holography and hydrodynamics: Diffusion on stretched horizons,” JHEP
2003
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
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
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
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
2007
Earlier work this paper cites.

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2016

Einstein gravity 3-point functions from conformal field theory

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

Understand

We study stress tensor correlation functions in four-dimensional conformal field theories with large $N$ and a sparse spectrum.

Theories in this class are expected to have local holographic duals, so effective field theory in anti-de Sitter suggests that the stress tensor sector should exhibit universal, gravity-like behavior.
At the linearized level, the hallmark of locality in the emergent geometry is that stress tensor three-point functions $\langle TTT\rangle$, normally specified by three constants, should approach a universal structure controlled by a single parameter as the gap to higher spin operators is increased.
We demonstrate this phenomenon by a direct CFT calculation.

Built on

B. Zwiebach, “Curvature Squared Terms and String Theories,” Phys. Lett
1985
Earlier work this paper cites.
D. J. Gross and E. Witten, “Superstring Modifications of Einstein’s Equations,” Nucl. Phys. B
1986
Earlier work this paper cites.
D. J. Gross and J. H. Sloan, “The Quartic Effective Action for the Heterotic String,” Nucl. Phys. B
1987
Earlier work this paper cites.
H. Osborn and A. C. Petkou, “Implications of conformal invariance in field theories for general dimensions,” Annals Phys
1994
Earlier work this paper cites.
A. A. Tseytlin, “Heterotic type I superstring duality and low-energy effective actions,” Nucl. Phys. B
1996
Earlier work this paper cites.
A. Strominger and C. Vafa, “Microscopic origin of the Bekenstein-Hawking entropy,” Phys. Lett. B
1998
Earlier work this paper cites.
M. Henningson and K. Skenderis, “The Holographic Weyl anomaly,” JHEP
1998
Earlier work this paper cites.
A. Strominger, “Black hole entropy from near horizon microstates,” JHEP
1998
Earlier work this paper cites.
L. Susskind, “Holography in the flat space limit,” AIP Conf. Proc
1999
Earlier work this paper cites.
M. Blau, K. S. Narain and E. Gava, “On subleading contributions to the AdS / CFT trace anomaly,” JHEP
1999
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, “On the conformal anomaly from higher derivative gravity in AdS / CFT correspondence,” Int. J. Mod. Phys. A
2000
Earlier work this paper cites.
S. B. Giddings, “Flat space scattering and bulk locality in the AdS / CFT correspondence,” Phys. Rev. D
2000
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal four point functions and the operator product expansion,” Nucl. Phys. B
2001
Earlier work this paper cites.
P. Kovtun, D. T. Son and A. O. Starinets, “Holography and hydrodynamics: Diffusion on stretched horizons,” JHEP
2003
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
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
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
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
2007
Earlier work this paper cites.