Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

Title: Unitarity methods in AdS/CFT

Abstract

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.

Authors:
 [1];  [1];  [2]
+ Show Author Affiliations
  1. California Institute of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
  2. 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
Publication Date:
Research Org.:
California Institute of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1802218
Grant/Contract Number:  
SC0011632
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 3; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; Physics

Citation Formats

Meltzer, David, Perlmutter, Eric, and Sivaramakrishnan, Allic. Unitarity methods in AdS/CFT. United States: N. p., 2020. Web. doi:10.1007/jhep03(2020)061.
Copy to clipboard
Meltzer, David, Perlmutter, Eric, & Sivaramakrishnan, Allic. Unitarity methods in AdS/CFT. United States. https://doi.org/10.1007/jhep03(2020)061
Copy to clipboard
Meltzer, David, Perlmutter, Eric, and Sivaramakrishnan, Allic. Wed . "Unitarity methods in AdS/CFT". United States. https://doi.org/10.1007/jhep03(2020)061. https://www.osti.gov/servlets/purl/1802218.
Copy to clipboard
@article{osti_1802218,
title = {Unitarity methods in AdS/CFT},
author = {Meltzer, David and Perlmutter, Eric and Sivaramakrishnan, Allic},
abstractNote = {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.},
doi = {10.1007/jhep03(2020)061},
journal = {Journal of High Energy Physics (Online)},
number = 3,
volume = 2020,
place = {United States},
year = {Wed Mar 11 00:00:00 EDT 2020},
month = {Wed Mar 11 00:00:00 EDT 2020}
}
Copy to clipboard
Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1007/jhep03(2020)061
Copyright Statement
Other availability
Search WorldCat Search WorldCat to find libraries that may hold this journal
Save / Share:
Export Metadata
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

Comments on 4-point functions in the CFT/AdS correspondence
journal, April 1999

Causality constraints in conformal field theory
journal, May 2016

  • Hartman, Thomas; Jain, Sachin; Kundu, Sandipan
  • Journal of High Energy Physics, Vol. 2016, Issue 5
  • DOI: 10.1007/JHEP05(2016)099

Loop corrections for Kaluza-Klein AdS amplitudes
journal, May 2018

  • Aprile, F.; Drummond, J. M.; Heslop, P.
  • Journal of High Energy Physics, Vol. 2018, Issue 5
  • DOI: 10.1007/JHEP05(2018)056

The analytic bootstrap and AdS superhorizon locality
journal, December 2013

  • Fitzpatrick, A. Liam; Kaplan, Jared; Poland, David
  • Journal of High Energy Physics, Vol. 2013, Issue 12
  • DOI: 10.1007/JHEP12(2013)004

Loop Corrections to Supergravity on AdS 5 × S 5
journal, October 2017

On one loop corrections in higher spin gravity
journal, November 2019

  • Ponomarev, Dmitry; Sezgin, Ergin; Skvortsov, Evgeny
  • Journal of High Energy Physics, Vol. 2019, Issue 11
  • DOI: 10.1007/JHEP11(2019)138

Unmixing supergravity
journal, February 2018

  • Aprile, F.; Drummond, J. M.; Heslop, P.
  • Journal of High Energy Physics, Vol. 2018, Issue 2
  • DOI: 10.1007/JHEP02(2018)133

A study of quantum field theories in AdS at finite coupling
journal, January 2019

  • Carmi, Dean; Di Pietro, Lorenzo; Komatsu, Shota
  • Journal of High Energy Physics, Vol. 2019, Issue 1
  • DOI: 10.1007/JHEP01(2019)200

Gauge theory correlators from non-critical string theory
journal, May 1998

Bounds for OPE coefficients on the Regge trajectory
journal, October 2017

  • Costa, Miguel S.; Hansen, Tobias; Penedones, João
  • Journal of High Energy Physics, Vol. 2017, Issue 10
  • DOI: 10.1007/JHEP10(2017)197

Supersymmetric Liouville theory in AdS2 and AdS/CFT
journal, November 2019

  • Beccaria, Matteo; Jiang, Hongliang; Tseytlin, Arkady A.
  • Journal of High Energy Physics, Vol. 2019, Issue 11
  • DOI: 10.1007/JHEP11(2019)051

20′ five-point function from AdS5× S5 supergravity
journal, October 2019

  • Gonçalves, Vasco; Pereira, Raul; Zhou, Xinan
  • Journal of High Energy Physics, Vol. 2019, Issue 10
  • DOI: 10.1007/JHEP10(2019)247

Quantum ϕ4 theory in AdS4 and its CFT dual
journal, February 2019

  • Bertan, Igor; Sachs, Ivo; Skvortsov, Evgeny
  • Journal of High Energy Physics, Vol. 2019, Issue 2
  • DOI: 10.1007/JHEP02(2019)099

Analyticity in spin in conformal theories
journal, September 2017

Stringy effects in scrambling
journal, May 2015

  • Shenker, Stephen H.; Stanford, Douglas
  • Journal of High Energy Physics, Vol. 2015, Issue 5
  • DOI: 10.1007/JHEP05(2015)132

Quantum gravity from conformal field theory
journal, January 2018

  • Aprile, F.; Drummond, J. M.; Heslop, P.
  • Journal of High Energy Physics, Vol. 2018, Issue 1
  • DOI: 10.1007/JHEP01(2018)035

Anti de Sitter space and holography
journal, January 1998

Loops in Anti–de Sitter Space
journal, September 2018

On The Pomeron at Large 't Hooft Coupling
journal, March 2009

A stereoscopic look into the bulk
journal, July 2016

  • Czech, Bartlomiej; Lamprou, Lampros; McCandlish, Samuel
  • Journal of High Energy Physics, Vol. 2016, Issue 7
  • DOI: 10.1007/JHEP07(2016)129

Correlation functions in the CFTd/AdSd+1 correspondence
journal, April 1999

Causality constraints on corrections to the graviton three-point coupling
journal, February 2016

  • Camanho, Xián O.; Edelstein, José D.; Maldacena, Juan
  • Journal of High Energy Physics, Vol. 2016, Issue 2
  • DOI: 10.1007/JHEP02(2016)020

Light-ray operators in conformal field theory
journal, November 2018

  • Kravchuk, Petr; Simmons-Duffin, David
  • Journal of High Energy Physics, Vol. 2018, Issue 11
  • DOI: 10.1007/JHEP11(2018)102

Shockwaves from the operator product expansion
journal, March 2019

  • Afkhami-Jeddi, Nima; Hartman, Thomas; Kundu, Sandipan
  • Journal of High Energy Physics, Vol. 2019, Issue 3
  • DOI: 10.1007/JHEP03(2019)201

Higher spin ANEC and the space of CFTs
journal, July 2019

d-dimensional SYK, AdS loops, and 6j symbols
journal, March 2019

  • Liu, Junyu; Perlmutter, Eric; Rosenhaus, Vladimir
  • Journal of High Energy Physics, Vol. 2019, Issue 3
  • DOI: 10.1007/JHEP03(2019)052

A spacetime derivation of the Lorentzian OPE inversion formula
journal, July 2018

  • Simmons-Duffin, David; Stanford, Douglas; Witten, Edward
  • Journal of High Energy Physics, Vol. 2018, Issue 7
  • DOI: 10.1007/JHEP07(2018)085

Conformal partial waves and the operator product expansion
journal, February 2004

Holography from conformal field theory
journal, October 2009

The analytic functional bootstrap. Part II. Natural bases for the crossing equation
journal, February 2019

  • Mazáč, Dalimil; Paulos, Miguel F.
  • Journal of High Energy Physics, Vol. 2019, Issue 2
  • DOI: 10.1007/JHEP02(2019)163

Harmonic analysis and mean field theory
journal, October 2019

  • Karateev, Denis; Kravchuk, Petr; Simmons-Duffin, David
  • Journal of High Energy Physics, Vol. 2019, Issue 10
  • DOI: 10.1007/JHEP10(2019)217

Crossing symmetry in alpha space
journal, November 2017

  • Hogervorst, Matthijs; van Rees, Balt C.
  • Journal of High Energy Physics, Vol. 2017, Issue 11
  • DOI: 10.1007/JHEP11(2017)193

Einstein gravity 3-point functions from conformal field theory
journal, December 2017

  • Afkhami-Jeddi, Nima; Hartman, Thomas; Kundu, Sandipan
  • Journal of High Energy Physics, Vol. 2017, Issue 12
  • DOI: 10.1007/JHEP12(2017)049

Writing CFT correlation functions as AdS scattering amplitudes
journal, March 2011

Weight shifting operators and conformal blocks
journal, February 2018

  • Karateev, Denis; Kravchuk, Petr; Simmons-Duffin, David
  • Journal of High Energy Physics, Vol. 2018, Issue 2
  • DOI: 10.1007/JHEP02(2018)081

The Large-N Limit of Superconformal Field Theories and Supergravity
journal, January 1999

  • Maldacena, Juan
  • International Journal of Theoretical Physics, Vol. 38, Issue 4, p. 1113-1133
  • DOI: 10.1023/A:1026654312961

Convexity and liberation at large spin
journal, November 2013

  • Komargodski, Zohar; Zhiboedov, Alexander
  • Journal of High Energy Physics, Vol. 2013, Issue 11
  • DOI: 10.1007/JHEP11(2013)140

Propagator identities, holographic conformal blocks, and higher-point AdS diagrams
journal, October 2019

  • Jepsen, Christian Baadsgaard; Parikh, Sarthak
  • Journal of High Energy Physics, Vol. 2019, Issue 10
  • DOI: 10.1007/JHEP10(2019)268

Looking for a bulk point
journal, January 2017

  • Maldacena, Juan; Simmons-Duffin, David; Zhiboedov, Alexander
  • Journal of High Energy Physics, Vol. 2017, Issue 1
  • DOI: 10.1007/JHEP01(2017)013

AdS weight shifting operators
journal, September 2018

Eikonal approximation in AdS/CFT: resumming the gravitational loop expansion
journal, September 2007

Holographic dual of the five-point conformal block
journal, May 2019

Anomalous dimensions from crossing kernels
journal, November 2018

  • Sleight, Charlotte; Taronna, Massimo
  • Journal of High Energy Physics, Vol. 2018, Issue 11
  • DOI: 10.1007/JHEP11(2018)089

Polyakov-Mellin bootstrap for AdS loops
journal, February 2020

Spinning AdS propagators
journal, September 2014

  • Costa, Miguel S.; Gonçalves, Vasco; Penedones, João
  • Journal of High Energy Physics, Vol. 2014, Issue 9
  • DOI: 10.1007/JHEP09(2014)064

Witten diagrams revisited: the AdS geometry of conformal blocks
journal, January 2016

  • Hijano, Eliot; Kraus, Per; Perlmutter, Eric
  • Journal of High Energy Physics, Vol. 2016, Issue 1
  • DOI: 10.1007/JHEP01(2016)146

Unitarity and the holographic S-Matrix
journal, October 2012

  • Fitzpatrick, A. Liam; Kaplan, Jared
  • Journal of High Energy Physics, Vol. 2012, Issue 10
  • DOI: 10.1007/JHEP10(2012)032

From bulk loops to boundary large-N expansion
journal, January 2020

The lightcone bootstrap and the spectrum of the 3d Ising CFT
journal, March 2017

Projectors, shadows, and conformal blocks
journal, April 2014

Conformal four point functions and the operator product expansion
journal, April 2001

The Pomeron and gauge/string duality
journal, December 2007

  • Brower, Richard C.; Polchinski, Joseph; Strassler, Matthew J.
  • Journal of High Energy Physics, Vol. 2007, Issue 12
  • DOI: 10.1088/1126-6708/2007/12/005

Gravitational S-matrix from CFT dispersion relations
journal, December 2018

  • Alday, Luis F.; Caron-Huot, Simon
  • Journal of High Energy Physics, Vol. 2018, Issue 12
  • DOI: 10.1007/JHEP12(2018)017

Recursion relations in Witten diagrams and conformal partial waves
journal, May 2019

Multipoint conformal blocks in the comb channel
journal, February 2019

Spinning AdS loop diagrams: two point functions
journal, June 2018

  • Giombi, Simone; Sleight, Charlotte; Taronna, Massimo
  • Journal of High Energy Physics, Vol. 2018, Issue 6
  • DOI: 10.1007/jhep06(2018)030
    Sort by:
    [ × clear filter / sort ]

    Similar Records in DOE PAGES and OSTI.GOV collections: