Built on

M. B. Green, J. H. Schwarz and L. Brink, “N=4 Yang-Mills and N=8 Supergravity as Limits of String Theories,” Nucl. Phys. B 198
1982
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, M. Perelstein and J. S. Rozowsky, “On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences,” Nucl. Phys. B 530
1998
Earlier work this paper cites.
G. Arutyunov and S. Frolov, “Four point functions of lowest weight CPOs in N=4 SYM(4) in supergravity approximation,” Phys. Rev. D 62
2000
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Superconformal symmetry, correlation functions and the operator product expansion,” Nucl. Phys. B 629
2002
Earlier work this paper cites.
F. A. Dolan, M. Nirschl and H. Osborn, “Conjectures for large N superconformal N=4 chiral primary four point functions,” Nucl. Phys. B 749
2006
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. Rattazzi, V. S. Rychkov, E. Tonni and A. Vichi, “Bounding scalar operator dimensions in 4D CFT,” JHEP 0812
Original
2008
Earlier work this paper cites.
I. Heemskerk, J. Penedones, J. Polchinski and J. Sully, “Holography from Conformal Field Theory,” JHEP 0910
Original
2009
Earlier work this paper cites.
M. Gary, S. B. Giddings and J. Penedones, “Local bulk S-matrix elements and CFT singularities,” Phys. Rev. D 80
Original
2009
Earlier work this paper cites.
J. Penedones, “Writing CFT correlation functions as AdS scattering amplitudes,” JHEP 1103
Original
2011
Earlier work this paper cites.
T. Okuda and J. Penedones, “String scattering in flat space and a scaling limit of Yang-Mills correlators,” Phys. Rev. D 83
Original
2011
Earlier work this paper cites.

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2017

Gravitational S-matrix from CFT dispersion relations

Alday, Luis F., Caron-Huot, Simon

Understand

We analyse the double-discontinuities of the four-point correlator of the stress-tensor multiplet in N=4 SYM at large t' Hooft coupling and at order $1/N^4$, as a way to access one-loop effects in the dual supergravity theory.

From these singularities we extract CFT-data by using two inversion procedures: one based on a recently proposed Froissart-Gribov inversion integral, and the other based on large spin perturbation theory.
Both procedures lead to the same results and are shown to be equivalent more generally.
Our computation parallels the standard S-matrix reconstruction via dispersion relations.

Built on

M. B. Green, J. H. Schwarz and L. Brink, “N=4 Yang-Mills and N=8 Supergravity as Limits of String Theories,” Nucl. Phys. B 198
1982
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, M. Perelstein and J. S. Rozowsky, “On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences,” Nucl. Phys. B 530
1998
Earlier work this paper cites.
G. Arutyunov and S. Frolov, “Four point functions of lowest weight CPOs in N=4 SYM(4) in supergravity approximation,” Phys. Rev. D 62
2000
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Superconformal symmetry, correlation functions and the operator product expansion,” Nucl. Phys. B 629
2002
Earlier work this paper cites.
F. A. Dolan, M. Nirschl and H. Osborn, “Conjectures for large N superconformal N=4 chiral primary four point functions,” Nucl. Phys. B 749
2006
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. Rattazzi, V. S. Rychkov, E. Tonni and A. Vichi, “Bounding scalar operator dimensions in 4D CFT,” JHEP 0812
Original
2008
Earlier work this paper cites.
I. Heemskerk, J. Penedones, J. Polchinski and J. Sully, “Holography from Conformal Field Theory,” JHEP 0910
Original
2009
Earlier work this paper cites.
M. Gary, S. B. Giddings and J. Penedones, “Local bulk S-matrix elements and CFT singularities,” Phys. Rev. D 80
Original
2009
Earlier work this paper cites.
J. Penedones, “Writing CFT correlation functions as AdS scattering amplitudes,” JHEP 1103
Original
2011
Earlier work this paper cites.
T. Okuda and J. Penedones, “String scattering in flat space and a scaling limit of Yang-Mills correlators,” Phys. Rev. D 83
Original
2011
Earlier work this paper cites.