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

Bargheer, Till; Caetano, João; Fleury, Thiago; Komatsu, Shota; Vieira, Pedro

doi:10.1103/PhysRevLett.121.231602

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 N_c genus expansion and at any order in the ’t Hooft coupling g$$2\atop{YM}$$N_c. 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:

Bargheer, Till ^[1]; Caetano, João ^[2]; Fleury, Thiago ^[3]; Komatsu, Shota ^[4]; Vieira, Pedro ^[5]

Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics; Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany); Leibniz Univ., Hannover (Germany)
PSL Research Univ., Paris (France)
PSL Research Univ., Paris (France); ICTP South American Institute for Fundamental Research, Sao Paulo (Brazil); ederal University of Rio Grande do Norte (Brazil)
Inst. for Advanced Study, Princeton, NJ (United States); Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
ICTP South American Institute for Fundamental Research, Sao Paulo (Brazil); Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)

Publication Date:: Wed Dec 05 00:00:00 EST 2018

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.

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                    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

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                    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.

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@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         = {Wed Dec 05 00:00:00 EST 2018},

  month        = {Wed Dec 05 00:00:00 EST 2018}

}

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Works referenced in this record:

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Bargheer, T.; Caetano, J.; Fleury, T.
Berlin : Springer
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Rastelli, Leonardo; Zhou, Xinan
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Holography from conformal field theory
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Heemskerk, Idse; Penedones, Joao; Polchinski, Joseph
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Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity
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The dilatation operator of conformal super-Yang–Mills theory
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Bargheer, T.; Caetano, J.; Fleury, T.
Deutsches Elektronen-Synchrotron, DESY, Hamburg
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Colour-dressed hexagon tessellations for correlation functions and non-planar corrections
text, January 2018

Eden, Burkhard; Jiang, Yunfeng; Le Plat, Dennis
ETH Zurich
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Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
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Cardy, J. L.; Castro-Alvaredo, O. A.; Doyon, B.
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Holography from Conformal Field Theory
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Heemskerk, Idse; Penedones, Joao; Polchinski, Joseph
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Review of AdS/CFT Integrability: An Overview
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Nonplanar Integrability
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Nonplanar Integrability: Beyond the SU(2) Sector
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Quantum spectral curve for arbitrary state/operator in AdS$_5$/CFT$_4$
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Hexagonalization of Correlation Functions
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Fleury, Thiago; Komatsu, Shota
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Quantum Gravity from Conformal Field Theory
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Works referencing / citing this record:

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

Bianchi, Marco S.
Journal of High Energy Physics, Vol. 2019, Issue 3
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More exact results in the Wilson loop defect CFT: bulk-defect OPE, nonplanar corrections and quantum spectral curve
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Giombi, Simone; Komatsu, Shota
Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 12
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Integrable S matrix, mirror TBA and spectrum for the stringy AdS3 × S3 × S3 × S1 WZW model
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Dei, A.; Sfondrini, A.
Journal of High Energy Physics, Vol. 2019, Issue 2
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On structure constants with two spinning twist-two operators
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Integrable S matrix, mirror TBA and spectrum for the stringy AdS(3) x S-3 x S-3 x S-1 WZW model
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Dei, Andrea; Sfondrini, Alessandro
ETH Zurich
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On structure constants with two spinning twist-two operators
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Bianchi, Marco S.
arXiv
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Title: Handling Handles: Nonplanar Integrability in N=4 Supersymmetric Yang-Mills Theory

Abstract

Citation Formats

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

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

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

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

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

Unmixing supergravity journal, February 2018

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

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

Looking for a bulk point journal, January 2017

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

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

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

Quantum gravity from conformal field theory journal, January 2018

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

Nonplanar integrability at two loops journal, October 2012

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

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

Nonplanar integrability journal, March 2011

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

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

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

Integrable S matrix, mirror TBA and spectrum for the stringy AdS(3) x S-3 x S-3 x S-1 WZW model text, January 2019

On structure constants with two spinning twist-two operators text, January 2019

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

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

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

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

Loop Corrections to Supergravity on ${AdS}_{5} \times S^{5}$
journal, October 2017

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

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

Unmixing supergravity
journal, February 2018

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

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

Looking for a bulk point
journal, January 2017

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

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

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

Quantum gravity from conformal field theory
journal, January 2018

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

Nonplanar integrability at two loops
journal, October 2012

Dual superconformal symmetry from ${AdS}_{5} \times S^{5}$ superstring integrability
journal, December 2008

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

Hidden symmetries of the ${AdS}_{5} \times S^{5}$ superstring
journal, February 2004

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

Nonplanar integrability
journal, March 2011

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

Mellin Amplitudes for Supergravity on ${AdS}_{5} \times S^{5}$
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

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

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

Integrable S matrix, mirror TBA and spectrum for the stringy AdS(3) x S-3 x S-3 x S-1 WZW model
text, January 2019

On structure constants with two spinning twist-two operators
text, January 2019