Built on

S. Parikh, “Holographic dual of the five-point conformal block,” JHEP
Original
1901
Earlier work this paper cites.
D. Ponomarev, E. Sezgin, and E. Skvortsov, “On one loop corrections in higher spin gravity,” JHEP
Original
1904
Earlier work this paper cites.
M. Beccaria and A. A. Tseytlin, “On boundary correlators in Liouville theory on AdS 2
Original
1904
Earlier work this paper cites.
M. Kologlu, P. Kravchuk, D. Simmons-Duffin, and A. Zhiboedov, “Shocks, Superconvergence, and a Stringy Equivalence Principle,” arXiv:1904.05905 [hep-th]
Original
1904
Earlier work this paper cites.
L. F. Alday and E. Perlmutter, “Growing Extra Dimensions in AdS/CFT,” JHEP
Original
1906
Earlier work this paper cites.
C. B. Jepsen and S. Parikh, “Propagator identities, holographic conformal blocks, and higher-point AdS diagrams,” arXiv:1906.08405 [hep-th]
Original
1906
Earlier work this paper cites.
V. Goncalves, R. Pereira, and X. Zhou, “ 20 ′ 20^{\prime} Five-Point Function from A d S 5 × S 5 AdS_{5}\times S^{5} Supergravity,” arXiv:1906.05305 [hep-th]
Original
1906
Earlier work this paper cites.
M. Shyani, “Lorentzian inversion and anomalous dimensions in Mellin space,” arXiv:1908.00015 [hep-th]
Original
1908
Earlier work this paper cites.
S. M. Chester, “Genus-2 Holographic Correlator on A d S 5 × S 5 AdS_{5}\times S^{5} from Localization,” arXiv:1908.05247 [hep-th]
Original
1908
Earlier work this paper cites.
D. Ponomarev, “From bulk loops to boundary large-N expansion,” arXiv:1908.03974 [hep-th]
Original
1908
Earlier work this paper cites.
M. Beccaria, H. Jiang, and A. A. Tseytlin, “Supersymmetric Liouville theory in AdS 2
Original
1909
Earlier work this paper cites.
D. Carmi, “Loops in AdS: From the Spectral Representation to Position Space,” arXiv:1910.14340 [hep-th]
Original
1910
Earlier work this paper cites.
D. Carmi and S. Caron-Huot, “A Conformal Dispersion Relation: Correlations from Absorption,” arXiv:1910.12123 [hep-th]
Original
1910
Earlier work this paper cites.
S. Parikh, “A multipoint conformal block chain in d d dimensions,” arXiv:1911.09190 [hep-th]
Original
1911
Earlier work this paper cites.
J.-F. Fortin, W. Ma, and W. Skiba, “Higher-Point Conformal Blocks in the Comb Channel,” arXiv:1911.11046 [hep-th]
Original
1911
Earlier work this paper cites.
L. F. Alday and X. Zhou, “Simplicity of AdS Supergravity at One Loop,” arXiv:1912.02663 [hep-th]
Original
1912
Earlier work this paper cites.
D. Meltzer, “AdS/CFT Unitarity at Higher Loops: High-Energy String Scattering,” arXiv:1912.05580 [hep-th]
Original
1912
Earlier work this paper cites.
F. Aprile, J. Drummond, P. Heslop, and H. Paul, “One-loop amplitudes in A d S 5 × S 5 AdS_{5}\times S^{5} supergravity from 𝒩 = 4 \mathcal{N}=4 SYM at strong coupling,” arXiv:1912.01047 [hep-th]
Original
1912
Earlier work this paper cites.
J. M. Drummond and H. Paul, “One-loop string corrections to AdS amplitudes from CFT,” arXiv:1912.07632 [hep-th]
Original
1912
Earlier work this paper cites.
V. K. Dobrev, G. Mack, V. B. Petkova, S. G. Petrova, and I. T. Todorov, “Harmonic Analysis on the n-Dimensional Lorentz Group and Its Application to Conformal Quantum Field Theory,” Lect. Notes Phys
1977
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from noncritical string theory,” Phys. Lett
1998
Earlier work this paper cites.
D. Z. Freedman, S. D. Mathur, A. Matusis, and L. Rastelli, “Correlation functions in the CFT(d) / AdS(d+1) correspondence,” Nucl. Phys
1999
Earlier work this paper cites.

Similar

D. Z. Freedman, S. D. Mathur, A. Matusis, and L. Rastelli, “Comments on 4 point functions in the CFT / AdS correspondence,” Phys. Lett
1999
Cited alongside, same era.
F. Dolan and H. Osborn, “Conformal four point functions and the operator product expansion,” Nucl.Phys
2001
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F. Dolan and H. Osborn, “Conformal partial waves and the operator product expansion,” Nucl.Phys
2004
Cited alongside, same era.
L. Cornalba, M. S. Costa, and J. Penedones, “Eikonal approximation in AdS/CFT: Resumming the gravitational loop expansion,” JHEP
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2007
Cited alongside, same era.
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2007
Cited alongside, same era.

Then

E. Hijano, P. Kraus, E. Perlmutter, and R. Snively, “Witten Diagrams Revisited: The AdS Geometry of Conformal Blocks,” JHEP
Original
2016
Later among the works it cites.
X. O. Camanho, J. D. Edelstein, J. Maldacena, and A. Zhiboedov, “Causality Constraints on Corrections to the Graviton Three-Point Coupling,” JHEP
Original
2016
Later among the works it cites.
T. Hartman, S. Jain, and S. Kundu, “Causality Constraints in Conformal Field Theory,” JHEP
Original
2016
Later among the works it cites.
L. F. Alday and A. Bissi, “Loop Corrections to Supergravity on A d S 5 × S 5 AdS_{5}\times S^{5} ,” Phys. Rev. Lett
Original
2017
Later among the works it cites.
C. Sleight and M. Taronna, “Spinning Witten Diagrams,” JHEP

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2019

Unitarity Methods in AdS/CFT

Meltzer, David, Perlmutter, Eric, Sivaramakrishnan, Allic

Understand

We develop a systematic unitarity method for loop-level AdS scattering amplitudes, dual to non-planar CFT correlators, from both bulk and boundary perspectives.

We identify cut operators acting on bulk amplitudes that put virtual lines on shell, and show how the conformal partial wave decomposition of the amplitudes may be efficiently computed by gluing lower-loop amplitudes.
A central role is played by the double discontinuity of the amplitude, which has a direct relation to these cuts.
We then exhibit a precise, intuitive map between the diagrammatic approach in the bulk using cutting and gluing, and the algebraic, holographic unitarity method of arXiv:1612.03891 that constructs the non-planar correlator from planar CFT data.

Built on

S. Parikh, “Holographic dual of the five-point conformal block,” JHEP
Original
1901
Earlier work this paper cites.
D. Ponomarev, E. Sezgin, and E. Skvortsov, “On one loop corrections in higher spin gravity,” JHEP
Original
1904
Earlier work this paper cites.
M. Beccaria and A. A. Tseytlin, “On boundary correlators in Liouville theory on AdS 2
Original
1904
Earlier work this paper cites.
M. Kologlu, P. Kravchuk, D. Simmons-Duffin, and A. Zhiboedov, “Shocks, Superconvergence, and a Stringy Equivalence Principle,” arXiv:1904.05905 [hep-th]
Original
1904
Earlier work this paper cites.
L. F. Alday and E. Perlmutter, “Growing Extra Dimensions in AdS/CFT,” JHEP
Original
1906
Earlier work this paper cites.
C. B. Jepsen and S. Parikh, “Propagator identities, holographic conformal blocks, and higher-point AdS diagrams,” arXiv:1906.08405 [hep-th]
Original
1906
Earlier work this paper cites.
V. Goncalves, R. Pereira, and X. Zhou, “ 20 ′ 20^{\prime} Five-Point Function from A d S 5 × S 5 AdS_{5}\times S^{5} Supergravity,” arXiv:1906.05305 [hep-th]
Original
1906
Earlier work this paper cites.
M. Shyani, “Lorentzian inversion and anomalous dimensions in Mellin space,” arXiv:1908.00015 [hep-th]
Original
1908
Earlier work this paper cites.
S. M. Chester, “Genus-2 Holographic Correlator on A d S 5 × S 5 AdS_{5}\times S^{5} from Localization,” arXiv:1908.05247 [hep-th]
Original
1908
Earlier work this paper cites.
D. Ponomarev, “From bulk loops to boundary large-N expansion,” arXiv:1908.03974 [hep-th]
Original
1908
Earlier work this paper cites.
M. Beccaria, H. Jiang, and A. A. Tseytlin, “Supersymmetric Liouville theory in AdS 2
Original
1909
Earlier work this paper cites.
D. Carmi, “Loops in AdS: From the Spectral Representation to Position Space,” arXiv:1910.14340 [hep-th]
Original
1910
Earlier work this paper cites.
D. Carmi and S. Caron-Huot, “A Conformal Dispersion Relation: Correlations from Absorption,” arXiv:1910.12123 [hep-th]
Original
1910
Earlier work this paper cites.
S. Parikh, “A multipoint conformal block chain in d d dimensions,” arXiv:1911.09190 [hep-th]
Original
1911
Earlier work this paper cites.
J.-F. Fortin, W. Ma, and W. Skiba, “Higher-Point Conformal Blocks in the Comb Channel,” arXiv:1911.11046 [hep-th]
Original
1911
Earlier work this paper cites.
L. F. Alday and X. Zhou, “Simplicity of AdS Supergravity at One Loop,” arXiv:1912.02663 [hep-th]
Original
1912
Earlier work this paper cites.
D. Meltzer, “AdS/CFT Unitarity at Higher Loops: High-Energy String Scattering,” arXiv:1912.05580 [hep-th]
Original
1912
Earlier work this paper cites.
F. Aprile, J. Drummond, P. Heslop, and H. Paul, “One-loop amplitudes in A d S 5 × S 5 AdS_{5}\times S^{5} supergravity from 𝒩 = 4 \mathcal{N}=4 SYM at strong coupling,” arXiv:1912.01047 [hep-th]
Original
1912
Earlier work this paper cites.
J. M. Drummond and H. Paul, “One-loop string corrections to AdS amplitudes from CFT,” arXiv:1912.07632 [hep-th]
Original
1912
Earlier work this paper cites.
V. K. Dobrev, G. Mack, V. B. Petkova, S. G. Petrova, and I. T. Todorov, “Harmonic Analysis on the n-Dimensional Lorentz Group and Its Application to Conformal Quantum Field Theory,” Lect. Notes Phys
1977
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from noncritical string theory,” Phys. Lett
1998
Earlier work this paper cites.
D. Z. Freedman, S. D. Mathur, A. Matusis, and L. Rastelli, “Correlation functions in the CFT(d) / AdS(d+1) correspondence,” Nucl. Phys
1999
Earlier work this paper cites.

Similar

D. Z. Freedman, S. D. Mathur, A. Matusis, and L. Rastelli, “Comments on 4 point functions in the CFT / AdS correspondence,” Phys. Lett
1999
Cited alongside, same era.
F. Dolan and H. Osborn, “Conformal four point functions and the operator product expansion,” Nucl.Phys
2001
Cited alongside, same era.
F. Dolan and H. Osborn, “Conformal partial waves and the operator product expansion,” Nucl.Phys
2004
Cited alongside, same era.
L. Cornalba, M. S. Costa, and J. Penedones, “Eikonal approximation in AdS/CFT: Resumming the gravitational loop expansion,” JHEP
Original
2007
Cited alongside, same era.
R. C. Brower, J. Polchinski, M. J. Strassler, and C.-I. Tan, “The Pomeron and gauge/string duality,” JHEP
2007
Cited alongside, same era.