DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Handling Handles: Nonplanar Integrability in N = 4 Supersymmetric Yang-Mills Theory

Abstract

We propose an integrability setup for the computation of correlation functions of gauge-invariant operators in N=4 supersymmetric Yang-Mills theory at higher orders in the large Nc genus expansion and at any order in the ’t Hooft coupling g$$2\atop{YM}$$Nc. In this multistep proposal, one polygonizes the string world sheet in all possible ways, hexagonalizes all resulting polygons, and sprinkles mirror particles over all hexagon junctions to obtain the full correlator. We test our integrability-based conjecture against a nonplanar four-point correlator of large 1/2 Bogomol’nyi-Prasad-Sommerfield operators at one and two loops.

Authors:
 [1];  [2];  [3];  [4];  [5]
  1. Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics; Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany); Leibniz Univ., Hannover (Germany)
  2. PSL Research Univ., Paris (France)
  3. PSL Research Univ., Paris (France); ICTP South American Institute for Fundamental Research, Sao Paulo (Brazil); ederal University of Rio Grande do Norte (Brazil)
  4. Inst. for Advanced Study, Princeton, NJ (United States); Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
  5. ICTP South American Institute for Fundamental Research, Sao Paulo (Brazil); Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
Publication Date:
Research Org.:
Institute for Advanced Study, Princeton, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1598214
Grant/Contract Number:  
SC0009988
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 121; Journal Issue: 23; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; expansion 1/N color; invariance: gauge; integrability; correlation function; Elementary Particles and Fields

Citation Formats

Bargheer, Till, Caetano, João, Fleury, Thiago, Komatsu, Shota, and Vieira, Pedro. Handling Handles: Nonplanar Integrability in N=4 Supersymmetric Yang-Mills Theory. United States: N. p., 2018. Web. doi:10.1103/PhysRevLett.121.231602.
Bargheer, Till, Caetano, João, Fleury, Thiago, Komatsu, Shota, & Vieira, Pedro. Handling Handles: Nonplanar Integrability in N=4 Supersymmetric Yang-Mills Theory. United States. https://doi.org/10.1103/PhysRevLett.121.231602
Bargheer, Till, Caetano, João, Fleury, Thiago, Komatsu, Shota, and Vieira, Pedro. Wed . "Handling Handles: Nonplanar Integrability in N=4 Supersymmetric Yang-Mills Theory". United States. https://doi.org/10.1103/PhysRevLett.121.231602. https://www.osti.gov/servlets/purl/1598214.
@article{osti_1598214,
title = {Handling Handles: Nonplanar Integrability in N=4 Supersymmetric Yang-Mills Theory},
author = {Bargheer, Till and Caetano, João and Fleury, Thiago and Komatsu, Shota and Vieira, Pedro},
abstractNote = {We propose an integrability setup for the computation of correlation functions of gauge-invariant operators in N=4 supersymmetric Yang-Mills theory at higher orders in the large Nc genus expansion and at any order in the ’t Hooft coupling g$2\atop{YM}$Nc. In this multistep proposal, one polygonizes the string world sheet in all possible ways, hexagonalizes all resulting polygons, and sprinkles mirror particles over all hexagon junctions to obtain the full correlator. We test our integrability-based conjecture against a nonplanar four-point correlator of large 1/2 Bogomol’nyi-Prasad-Sommerfield operators at one and two loops.},
doi = {10.1103/PhysRevLett.121.231602},
journal = {Physical Review Letters},
number = 23,
volume = 121,
place = {United States},
year = {2018},
month = {12}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 27 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Dual superconformal symmetry, and the amplitude/Wilson loop connection
journal, September 2008


Handling handles. Part II. Stratification and data analysis
journal, November 2018

  • Bargheer, T.; Caetano, J.; Fleury, T.
  • Journal of High Energy Physics, Vol. 2018, Issue 11
  • DOI: 10.1007/JHEP11(2018)095

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

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


Quantum spectral curve for arbitrary state/operator in AdS5/CFT4
journal, September 2015

  • Gromov, Nikolay; Kazakov, Vladimir; Leurent, Sébastien
  • Journal of High Energy Physics, Vol. 2015, Issue 9
  • DOI: 10.1007/JHEP09(2015)187

Hexagonalization of correlation functions II: two-particle contributions
journal, February 2018


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

Tessellating cushions: four-point functions in N $$ \mathcal{N} $$ = 4 SYM
journal, October 2017

  • Eden, Burkhard; Sfondrini, Alessandro
  • Journal of High Energy Physics, Vol. 2017, Issue 10
  • DOI: 10.1007/JHEP10(2017)098

Hexagonalization of correlation functions
journal, January 2017


The Bethe-ansatz for Script N = 4 super Yang-Mills
journal, March 2003


Review of AdS/CFT Integrability: An Overview
journal, October 2011

  • Beisert, Niklas; Ahn, Changrim; Alday, Luis F.
  • Letters in Mathematical Physics, Vol. 99, Issue 1-3
  • DOI: 10.1007/s11005-011-0529-2

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

Nonplanar Integrability: Beyond the Su(2) Sector
journal, October 2011

  • De Mello Koch, Robert; Mohammed, Badr Awad Elseid; Smith, Stephanie
  • International Journal of Modern Physics A, Vol. 26, Issue 26
  • DOI: 10.1142/S0217751X11054590

How to succeed at holographic correlators without really trying
journal, April 2018


Form Factors of Branch-Point Twist Fields in Quantum Integrable Models and Entanglement Entropy
journal, October 2007

  • Cardy, J. L.; Castro-Alvaredo, O. A.; Doyon, B.
  • Journal of Statistical Physics, Vol. 130, Issue 1
  • DOI: 10.1007/s10955-007-9422-x

Four-point correlators of BPS operators in SYM at order g4
journal, October 2003


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

Colour-dressed hexagon tessellations for correlation functions and non-planar corrections
journal, February 2018

  • Eden, Burkhard; Jiang, Yunfeng; le Plat, Dennis
  • Journal of High Energy Physics, Vol. 2018, Issue 2
  • DOI: 10.1007/JHEP02(2018)170

Loops in AdS from conformal field theory
journal, July 2017

  • Aharony, Ofer; Alday, Luis F.; Bissi, Agnese
  • Journal of High Energy Physics, Vol. 2017, Issue 7
  • DOI: 10.1007/JHEP07(2017)036

Nonplanar integrability at two loops
journal, October 2012

  • de Mello Koch, Robert; Kemp, Garreth; Mohammed, Badr Awad Elseid
  • Journal of High Energy Physics, Vol. 2012, Issue 10
  • DOI: 10.1007/JHEP10(2012)144

Dual superconformal symmetry from AdS 5 × S 5 superstring integrability
journal, December 2008


On a large N degeneracy in SYM and the AdS/CFT correspondence
journal, July 2003


Hidden symmetries of the AdS 5 × S 5 superstring
journal, February 2004


Quantum Spectral Curve for Planar N = 4 Super-Yang-Mills Theory
journal, January 2014


Conical twist fields and null polygonal Wilson loops
journal, June 2018


Nonplanar integrability
journal, March 2011

  • Carlson, Warren; de Mello Koch, Robert; Lin, Hai
  • Journal of High Energy Physics, Vol. 2011, Issue 3
  • DOI: 10.1007/JHEP03(2011)105

Structure constants of operators on the Wilson loop from integrability
journal, November 2017


Spacetime and Flux Tube S -Matrices at Finite Coupling for N = 4 Supersymmetric Yang-Mills Theory
journal, August 2013


Mellin Amplitudes for Supergravity on AdS 5 × S 5
journal, March 2017


Holography from conformal field theory
journal, October 2009


Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity
journal, August 2011


The dilatation operator of conformal super-Yang–Mills theory
journal, August 2003


Handling handles. Part II. Stratification and data analysis
text, January 2018


Colour-dressed hexagon tessellations for correlation functions and non-planar corrections
text, January 2018


Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
text, January 2007


Holography from Conformal Field Theory
text, January 2009


Review of AdS/CFT Integrability: An Overview
text, January 2010


Nonplanar Integrability
text, January 2011


Nonplanar Integrability: Beyond the SU(2) Sector
text, January 2011


Quantum spectral curve for arbitrary state/operator in AdS$_5$/CFT$_4$
text, January 2014


Hexagonalization of Correlation Functions
text, January 2016


Quantum Gravity from Conformal Field Theory
text, January 2017


Unmixing Supergravity
text, January 2017


How to Succeed at Holographic Correlators Without Really Trying
text, January 2017


Hexagonalization of Correlation Functions II: Two-Particle Contributions
text, January 2017


Works referencing / citing this record:

Octagons I: combinatorics and non-planar resummations
journal, August 2019

  • Bargheer, Till; Coronado, Frank; Vieira, Pedro
  • Journal of High Energy Physics, Vol. 2019, Issue 8
  • DOI: 10.1007/jhep08(2019)162

A note on three-point functions of unprotected operators
journal, March 2019


More exact results in the Wilson loop defect CFT: bulk-defect OPE, nonplanar corrections and quantum spectral curve
journal, February 2019

  • Giombi, Simone; Komatsu, Shota
  • Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 12
  • DOI: 10.1088/1751-8121/ab046c

Integrable S matrix, mirror TBA and spectrum for the stringy AdS3 × S3 × S3 × S1 WZW model
journal, February 2019


On structure constants with two spinning twist-two operators
journal, April 2019


Octagons I: combinatorics and non-planar resummations
other, January 2019

  • Bargheer, Till; Coronado, Frank; Vieira, Pedro
  • Berlin; Heidelberg : Springer
  • DOI: 10.15488/11307