Unitarity methods in AdS/CFT

Meltzer, David; Perlmutter, Eric; Sivaramakrishnan, Allic

doi:10.1007/jhep03(2020)061

Title: Unitarity methods in AdS/CFT

Journal Article · Wed Mar 11 00:00:00 EDT 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep03(2020)061· OSTI ID:1802218

Meltzer, David ^[1]; Perlmutter, Eric ^[1]; Sivaramakrishnan, Allic ^[2]

California Institute of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
California Institute of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics; Univ. of Kentucky, Lexington, KY (United States). Dept. of Physics and Astronomy

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 [1] that constructs the non-planar correlator from planar CFT data. Our analysis focuses mostly on four-point, one-loop diagrams — we compute cuts of the scalar bubble, triangle and box, as well as some one-particle reducible diagrams — in addition to the five-point tree and four-point double-ladder. Analogies with S-matrix unitarity methods are drawn throughout.

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Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0011632

OSTI ID:: 1802218

Journal Information:: Journal of High Energy Physics (Online), Vol. 2020, Issue 3; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (56)

Comments on 4-point functions in the CFT/AdS correspondence Freedman, Daniel Z.; Mathur, Samir D.; Matusis, Alec Physics Letters B, Vol. 452, Issue 1-2 https://doi.org/10.1016/S0370-2693(99)00229-4	journal	April 1999
Causality constraints in conformal field theory Hartman, Thomas; Jain, Sachin; Kundu, Sandipan Journal of High Energy Physics, Vol. 2016, Issue 5 https://doi.org/10.1007/JHEP05(2016)099	journal	May 2016
Loop corrections for Kaluza-Klein AdS amplitudes Aprile, F.; Drummond, J. M.; Heslop, P. Journal of High Energy Physics, Vol. 2018, Issue 5 https://doi.org/10.1007/JHEP05(2018)056	journal	May 2018
The analytic bootstrap and AdS superhorizon locality Fitzpatrick, A. Liam; Kaplan, Jared; Poland, David Journal of High Energy Physics, Vol. 2013, Issue 12 https://doi.org/10.1007/JHEP12(2013)004	journal	December 2013
Loop Corrections to Supergravity on ${AdS}_{5} \times S^{5}$ Alday, Luis F.; Bissi, Agnese Physical Review Letters, Vol. 119, Issue 17 https://doi.org/10.1103/PhysRevLett.119.171601	journal	October 2017
On one loop corrections in higher spin gravity Ponomarev, Dmitry; Sezgin, Ergin; Skvortsov, Evgeny Journal of High Energy Physics, Vol. 2019, Issue 11 https://doi.org/10.1007/JHEP11(2019)138	journal	November 2019
Unmixing supergravity Aprile, F.; Drummond, J. M.; Heslop, P. Journal of High Energy Physics, Vol. 2018, Issue 2 https://doi.org/10.1007/JHEP02(2018)133	journal	February 2018
A study of quantum field theories in AdS at finite coupling Carmi, Dean; Di Pietro, Lorenzo; Komatsu, Shota Journal of High Energy Physics, Vol. 2019, Issue 1 https://doi.org/10.1007/JHEP01(2019)200	journal	January 2019
Gauge theory correlators from non-critical string theory Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M. Physics Letters B, Vol. 428, Issue 1-2 https://doi.org/10.1016/S0370-2693(98)00377-3	journal	May 1998
Bounds for OPE coefficients on the Regge trajectory Costa, Miguel S.; Hansen, Tobias; Penedones, João Journal of High Energy Physics, Vol. 2017, Issue 10 https://doi.org/10.1007/JHEP10(2017)197	journal	October 2017
Supersymmetric Liouville theory in AdS2 and AdS/CFT Beccaria, Matteo; Jiang, Hongliang; Tseytlin, Arkady A. Journal of High Energy Physics, Vol. 2019, Issue 11 https://doi.org/10.1007/JHEP11(2019)051	journal	November 2019
20′ five-point function from AdS5× S5 supergravity Gonçalves, Vasco; Pereira, Raul; Zhou, Xinan Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/JHEP10(2019)247	journal	October 2019
Quantum ϕ4 theory in AdS4 and its CFT dual Bertan, Igor; Sachs, Ivo; Skvortsov, Evgeny Journal of High Energy Physics, Vol. 2019, Issue 2 https://doi.org/10.1007/JHEP02(2019)099	journal	February 2019
Analyticity in spin in conformal theories Caron-Huot, Simon Journal of High Energy Physics, Vol. 2017, Issue 9 https://doi.org/10.1007/JHEP09(2017)078	journal	September 2017
Stringy effects in scrambling Shenker, Stephen H.; Stanford, Douglas Journal of High Energy Physics, Vol. 2015, Issue 5 https://doi.org/10.1007/JHEP05(2015)132	journal	May 2015
Quantum gravity from conformal field theory Aprile, F.; Drummond, J. M.; Heslop, P. Journal of High Energy Physics, Vol. 2018, Issue 1 https://doi.org/10.1007/JHEP01(2018)035	journal	January 2018
Anti de Sitter space and holography Witten, Edward Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2 https://doi.org/10.4310/ATMP.1998.v2.n2.a2	journal	January 1998
Loops in Anti–de Sitter Space Bertan, Igor; Sachs, Ivo Physical Review Letters, Vol. 121, Issue 10 https://doi.org/10.1103/PhysRevLett.121.101601	journal	September 2018
On The Pomeron at Large 't Hooft Coupling Brower, R. C.; Strassler, M. J.; Tan, C. -I Journal of High Energy Physics, Vol. 2009, Issue 03 https://doi.org/10.1088/1126-6708/2009/03/092	journal	March 2009
A stereoscopic look into the bulk Czech, Bartlomiej; Lamprou, Lampros; McCandlish, Samuel Journal of High Energy Physics, Vol. 2016, Issue 7 https://doi.org/10.1007/JHEP07(2016)129	journal	July 2016
Correlation functions in the CFTd/AdSd+1 correspondence Freedman, Daniel Z.; Mathur, Samir D.; Matusis, Alec Nuclear Physics B, Vol. 546, Issue 1-2 https://doi.org/10.1016/S0550-3213(99)00053-X	journal	April 1999
Causality constraints on corrections to the graviton three-point coupling Camanho, Xián O.; Edelstein, José D.; Maldacena, Juan Journal of High Energy Physics, Vol. 2016, Issue 2 https://doi.org/10.1007/JHEP02(2016)020	journal	February 2016
Light-ray operators in conformal field theory Kravchuk, Petr; Simmons-Duffin, David Journal of High Energy Physics, Vol. 2018, Issue 11 https://doi.org/10.1007/JHEP11(2018)102	journal	November 2018
Shockwaves from the operator product expansion Afkhami-Jeddi, Nima; Hartman, Thomas; Kundu, Sandipan Journal of High Energy Physics, Vol. 2019, Issue 3 https://doi.org/10.1007/JHEP03(2019)201	journal	March 2019
Higher spin ANEC and the space of CFTs Meltzer, David Journal of High Energy Physics, Vol. 2019, Issue 7 https://doi.org/10.1007/JHEP07(2019)001	journal	July 2019
d-dimensional SYK, AdS loops, and 6j symbols Liu, Junyu; Perlmutter, Eric; Rosenhaus, Vladimir Journal of High Energy Physics, Vol. 2019, Issue 3 https://doi.org/10.1007/JHEP03(2019)052	journal	March 2019
A spacetime derivation of the Lorentzian OPE inversion formula Simmons-Duffin, David; Stanford, Douglas; Witten, Edward Journal of High Energy Physics, Vol. 2018, Issue 7 https://doi.org/10.1007/JHEP07(2018)085	journal	July 2018
Conformal partial waves and the operator product expansion Dolan, F. A.; Osborn, H. Nuclear Physics B, Vol. 678, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2003.11.016	journal	February 2004
Holography from conformal field theory Heemskerk, Idse; Penedones, Joao; Polchinski, Joseph Journal of High Energy Physics, Vol. 2009, Issue 10 https://doi.org/10.1088/1126-6708/2009/10/079	journal	October 2009
The analytic functional bootstrap. Part II. Natural bases for the crossing equation Mazáč, Dalimil; Paulos, Miguel F. Journal of High Energy Physics, Vol. 2019, Issue 2 https://doi.org/10.1007/JHEP02(2019)163	journal	February 2019
Harmonic analysis and mean field theory Karateev, Denis; Kravchuk, Petr; Simmons-Duffin, David Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/JHEP10(2019)217	journal	October 2019
Crossing symmetry in alpha space Hogervorst, Matthijs; van Rees, Balt C. Journal of High Energy Physics, Vol. 2017, Issue 11 https://doi.org/10.1007/JHEP11(2017)193	journal	November 2017
Einstein gravity 3-point functions from conformal field theory Afkhami-Jeddi, Nima; Hartman, Thomas; Kundu, Sandipan Journal of High Energy Physics, Vol. 2017, Issue 12 https://doi.org/10.1007/JHEP12(2017)049	journal	December 2017
Writing CFT correlation functions as AdS scattering amplitudes Penedones, Joao Journal of High Energy Physics, Vol. 2011, Issue 3 https://doi.org/10.1007/JHEP03(2011)025	journal	March 2011
Weight shifting operators and conformal blocks Karateev, Denis; Kravchuk, Petr; Simmons-Duffin, David Journal of High Energy Physics, Vol. 2018, Issue 2 https://doi.org/10.1007/JHEP02(2018)081	journal	February 2018
The Large-N Limit of Superconformal Field Theories and Supergravity Maldacena, Juan International Journal of Theoretical Physics, Vol. 38, Issue 4, p. 1113-1133 https://doi.org/10.1023/A:1026654312961	journal	January 1999
Convexity and liberation at large spin Komargodski, Zohar; Zhiboedov, Alexander Journal of High Energy Physics, Vol. 2013, Issue 11 https://doi.org/10.1007/JHEP11(2013)140	journal	November 2013
Propagator identities, holographic conformal blocks, and higher-point AdS diagrams Jepsen, Christian Baadsgaard; Parikh, Sarthak Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/JHEP10(2019)268	journal	October 2019
Looking for a bulk point Maldacena, Juan; Simmons-Duffin, David; Zhiboedov, Alexander Journal of High Energy Physics, Vol. 2017, Issue 1 https://doi.org/10.1007/JHEP01(2017)013	journal	January 2017
AdS weight shifting operators Costa, Miguel S.; Hansen, Tobias Journal of High Energy Physics, Vol. 2018, Issue 9 https://doi.org/10.1007/JHEP09(2018)040	journal	September 2018
Eikonal approximation in AdS/CFT: resumming the gravitational loop expansion Cornalba, Lorenzo; Costa, Miguel S.; Penedones, João Journal of High Energy Physics, Vol. 2007, Issue 09 https://doi.org/10.1088/1126-6708/2007/09/037	journal	September 2007
Holographic dual of the five-point conformal block Parikh, Sarthak Journal of High Energy Physics, Vol. 2019, Issue 5 https://doi.org/10.1007/JHEP05(2019)051	journal	May 2019
Anomalous dimensions from crossing kernels Sleight, Charlotte; Taronna, Massimo Journal of High Energy Physics, Vol. 2018, Issue 11 https://doi.org/10.1007/JHEP11(2018)089	journal	November 2018
Polyakov-Mellin bootstrap for AdS loops Ghosh, Kausik Journal of High Energy Physics, Vol. 2020, Issue 2 https://doi.org/10.1007/JHEP02(2020)006	journal	February 2020
Spinning AdS propagators Costa, Miguel S.; Gonçalves, Vasco; Penedones, João Journal of High Energy Physics, Vol. 2014, Issue 9 https://doi.org/10.1007/JHEP09(2014)064	journal	September 2014
Witten diagrams revisited: the AdS geometry of conformal blocks Hijano, Eliot; Kraus, Per; Perlmutter, Eric Journal of High Energy Physics, Vol. 2016, Issue 1 https://doi.org/10.1007/JHEP01(2016)146	journal	January 2016
Unitarity and the holographic S-Matrix Fitzpatrick, A. Liam; Kaplan, Jared Journal of High Energy Physics, Vol. 2012, Issue 10 https://doi.org/10.1007/JHEP10(2012)032	journal	October 2012
From bulk loops to boundary large-N expansion Ponomarev, Dmitry Journal of High Energy Physics, Vol. 2020, Issue 1 https://doi.org/10.1007/JHEP01(2020)154	journal	January 2020
The lightcone bootstrap and the spectrum of the 3d Ising CFT Simmons-Duffin, David Journal of High Energy Physics, Vol. 2017, Issue 3 https://doi.org/10.1007/JHEP03(2017)086	journal	March 2017
Projectors, shadows, and conformal blocks Simmons-Duffin, David Journal of High Energy Physics, Vol. 2014, Issue 4 https://doi.org/10.1007/JHEP04(2014)146	journal	April 2014
Conformal four point functions and the operator product expansion Dolan, F. A.; Osborn, H. Nuclear Physics B, Vol. 599, Issue 1-2 https://doi.org/10.1016/S0550-3213(01)00013-X	journal	April 2001
The Pomeron and gauge/string duality Brower, Richard C.; Polchinski, Joseph; Strassler, Matthew J. Journal of High Energy Physics, Vol. 2007, Issue 12 https://doi.org/10.1088/1126-6708/2007/12/005	journal	December 2007
Gravitational S-matrix from CFT dispersion relations Alday, Luis F.; Caron-Huot, Simon Journal of High Energy Physics, Vol. 2018, Issue 12 https://doi.org/10.1007/JHEP12(2018)017	journal	December 2018
Recursion relations in Witten diagrams and conformal partial waves Zhou, Xinan Journal of High Energy Physics, Vol. 2019, Issue 5 https://doi.org/10.1007/JHEP05(2019)006	journal	May 2019
Multipoint conformal blocks in the comb channel Rosenhaus, Vladimir Journal of High Energy Physics, Vol. 2019, Issue 2 https://doi.org/10.1007/JHEP02(2019)142	journal	February 2019
Spinning AdS loop diagrams: two point functions Giombi, Simone; Sleight, Charlotte; Taronna, Massimo Journal of High Energy Physics, Vol. 2018, Issue 6 https://doi.org/10.1007/jhep06(2018)030	journal	June 2018

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