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

Journal Article · 05 December 2018 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.121.231602 · OSTI ID:1598214

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); Institute for Advanced Study
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)

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.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Inst. for Advanced Study, Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0009988

OSTI ID:: 1598214

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 23 Vol. 121; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (46)

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
Hexagonalization of correlation functions Fleury, Thiago; Komatsu, Shota Journal of High Energy Physics, Vol. 2017, Issue 1 https://doi.org/10.1007/JHEP01(2017)130	journal	January 2017
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
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
Colour-dressed hexagon tessellations for correlation functions and non-planar corrections Eden, Burkhard; Jiang, Yunfeng; le Plat, Dennis Journal of High Energy Physics, Vol. 2018, Issue 2 https://doi.org/10.1007/JHEP02(2018)170	journal	February 2018
Hexagonalization of correlation functions II: two-particle contributions Fleury, Thiago; Komatsu, Shota Journal of High Energy Physics, Vol. 2018, Issue 2 https://doi.org/10.1007/JHEP02(2018)177	journal	February 2018
Nonplanar integrability Carlson, Warren; de Mello Koch, Robert; Lin, Hai Journal of High Energy Physics, Vol. 2011, Issue 3 https://doi.org/10.1007/JHEP03(2011)105	journal	March 2011
How to succeed at holographic correlators without really trying Rastelli, Leonardo; Zhou, Xinan Journal of High Energy Physics, Vol. 2018, Issue 4 https://doi.org/10.1007/JHEP04(2018)014	journal	April 2018
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
Loops in AdS from conformal field theory Aharony, Ofer; Alday, Luis F.; Bissi, Agnese Journal of High Energy Physics, Vol. 2017, Issue 7 https://doi.org/10.1007/JHEP07(2017)036	journal	July 2017
Quantum spectral curve for arbitrary state/operator in AdS5/CFT4 Gromov, Nikolay; Kazakov, Vladimir; Leurent, Sébastien Journal of High Energy Physics, Vol. 2015, Issue 9 https://doi.org/10.1007/JHEP09(2015)187	journal	September 2015
Nonplanar integrability at two loops de Mello Koch, Robert; Kemp, Garreth; Mohammed, Badr Awad Elseid Journal of High Energy Physics, Vol. 2012, Issue 10 https://doi.org/10.1007/JHEP10(2012)144	journal	October 2012
Tessellating cushions: four-point functions in N $$ \mathcal{N} $$ = 4 SYM Eden, Burkhard; Sfondrini, Alessandro Journal of High Energy Physics, Vol. 2017, Issue 10 https://doi.org/10.1007/JHEP10(2017)098	journal	October 2017
Structure constants of operators on the Wilson loop from integrability Kim, Minkyoo; Kiryu, Naoki Journal of High Energy Physics, Vol. 2017, Issue 11 https://doi.org/10.1007/JHEP11(2017)116	journal	November 2017
Handling handles. Part II. Stratification and data analysis Bargheer, T.; Caetano, J.; Fleury, T. Journal of High Energy Physics, Vol. 2018, Issue 11 https://doi.org/10.1007/JHEP11(2018)095	journal	November 2018
Form Factors of Branch-Point Twist Fields in Quantum Integrable Models and Entanglement Entropy Cardy, J. L.; Castro-Alvaredo, O. A.; Doyon, B. Journal of Statistical Physics, Vol. 130, Issue 1 https://doi.org/10.1007/s10955-007-9422-x	journal	October 2007
Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity Kristjansen, Charlotte Letters in Mathematical Physics, Vol. 99, Issue 1-3 https://doi.org/10.1007/s11005-011-0514-9	journal	August 2011
Review of AdS/CFT Integrability: An Overview Beisert, Niklas; Ahn, Changrim; Alday, Luis F. Letters in Mathematical Physics, Vol. 99, Issue 1-3 https://doi.org/10.1007/s11005-011-0529-2	journal	October 2011
On a large N degeneracy in SYM and the AdS/CFT correspondence Arutyunov, G.; Sokatchev, E. Nuclear Physics B, Vol. 663, Issue 1-2 https://doi.org/10.1016/S0550-3213(03)00353-5	journal	July 2003
The dilatation operator of conformal super-Yang–Mills theory Beisert, N.; Kristjansen, C.; Staudacher, M. Nuclear Physics B, Vol. 664, Issue 1-2 https://doi.org/10.1016/S0550-3213(03)00406-1	journal	August 2003
Four-point correlators of BPS operators in SYM at order g4 Arutyunov, G.; Penati, S.; Santambrogio, A. Nuclear Physics B, Vol. 670, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2003.07.027	journal	October 2003
Conical twist fields and null polygonal Wilson loops Castro-Alvaredo, Olalla A.; Doyon, Benjamin; Fioravanti, Davide Nuclear Physics B, Vol. 931 https://doi.org/10.1016/j.nuclphysb.2018.04.002	journal	June 2018
The Bethe-ansatz for Script N = 4 super Yang-Mills Minahan, Joseph A.; Zarembo, Konstantin Journal of High Energy Physics, Vol. 2003, Issue 03 https://doi.org/10.1088/1126-6708/2003/03/013	journal	March 2003
Dual superconformal symmetry, and the amplitude/Wilson loop connection Berkovits, Nathan; Maldacena, Juan Journal of High Energy Physics, Vol. 2008, Issue 09 https://doi.org/10.1088/1126-6708/2008/09/062	journal	September 2008
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
Hidden symmetries of the AdS 5 × S 5 superstring Bena, Iosif; Polchinski, Joseph; Roiban, Radu Physical Review D, Vol. 69, Issue 4 https://doi.org/10.1103/PhysRevD.69.046002	journal	February 2004
Dual superconformal symmetry from AdS 5 × S 5 superstring integrability Beisert, Niklas; Ricci, Riccardo; Tseytlin, Arkady A. Physical Review D, Vol. 78, Issue 12 https://doi.org/10.1103/PhysRevD.78.126004	journal	December 2008
Spacetime and Flux Tube S -Matrices at Finite Coupling for N = 4 Supersymmetric Yang-Mills Theory Basso, Benjamin; Sever, Amit; Vieira, Pedro Physical Review Letters, Vol. 111, Issue 9 https://doi.org/10.1103/PhysRevLett.111.091602	journal	August 2013
Quantum Spectral Curve for Planar N = 4 Super-Yang-Mills Theory Gromov, Nikolay; Kazakov, Vladimir; Leurent, Sébastien Physical Review Letters, Vol. 112, Issue 1 https://doi.org/10.1103/PhysRevLett.112.011602	journal	January 2014
Mellin Amplitudes for Supergravity on AdS 5 × S 5 Rastelli, Leonardo; Zhou, Xinan Physical Review Letters, Vol. 118, Issue 9 https://doi.org/10.1103/PhysRevLett.118.091602	journal	March 2017
Loop Corrections to Supergravity on AdS 5 × 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
Nonplanar Integrability: Beyond the Su(2) Sector De Mello Koch, Robert; Mohammed, Badr Awad Elseid; Smith, Stephanie International Journal of Modern Physics A, Vol. 26, Issue 26 https://doi.org/10.1142/S0217751X11054590	journal	October 2011
Handling handles. Part II. Stratification and data analysis Bargheer, T.; Caetano, J.; Fleury, T. Berlin : Springer https://doi.org/10.15488/4907	text	January 2018
Handling handles. Part II. Stratification and data analysis Bargheer, T.; Caetano, J.; Fleury, T. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2019-00387	text	January 2018
Colour-dressed hexagon tessellations for correlation functions and non-planar corrections Eden, Burkhard; Jiang, Yunfeng; Le Plat, Dennis ETH Zurich https://doi.org/10.3929/ethz-b-000250009	text	January 2018
Form factors of branch-point twist fields in quantum integrable models and entanglement entropy Cardy, J. L.; Castro-Alvaredo, O. A.; Doyon, B. arXiv https://doi.org/10.48550/arxiv.0706.3384	text	January 2007
Holography from Conformal Field Theory Heemskerk, Idse; Penedones, Joao; Polchinski, Joseph arXiv https://doi.org/10.48550/arxiv.0907.0151	text	January 2009
Review of AdS/CFT Integrability: An Overview Beisert, Niklas; Ahn, Changrim; Alday, Luis F. arXiv https://doi.org/10.48550/arxiv.1012.3982	text	January 2010
Nonplanar Integrability Carlson, Warren; Koch, Robert de Mello; Lin, Hai arXiv https://doi.org/10.48550/arxiv.1101.5404	text	January 2011
Nonplanar Integrability: Beyond the SU(2) Sector Koch, Robert de Mello; Mohammed, Badr Awad Elseid; Smith, Stephanie arXiv https://doi.org/10.48550/arxiv.1106.2483	text	January 2011
Quantum spectral curve for arbitrary state/operator in AdS$_5$/CFT$_4$ Gromov, Nikolay; Kazakov, Vladimir; Leurent, Sebastien arXiv https://doi.org/10.48550/arxiv.1405.4857	text	January 2014
Hexagonalization of Correlation Functions Fleury, Thiago; Komatsu, Shota arXiv https://doi.org/10.48550/arxiv.1611.05577	text	January 2016
Quantum Gravity from Conformal Field Theory Aprile, F.; Drummond, J. M.; Heslop, P. arXiv https://doi.org/10.48550/arxiv.1706.02822	text	January 2017
Unmixing Supergravity Aprile, F.; Drummond, J. M.; Heslop, P. arXiv https://doi.org/10.48550/arxiv.1706.08456	text	January 2017
How to Succeed at Holographic Correlators Without Really Trying Rastelli, Leonardo; Zhou, Xinan arXiv https://doi.org/10.48550/arxiv.1710.05923	text	January 2017
Hexagonalization of Correlation Functions II: Two-Particle Contributions Fleury, Thiago; Komatsu, Shota arXiv https://doi.org/10.48550/arxiv.1711.05327	text	January 2017

Cited By (8)

Integrable S matrix, mirror TBA and spectrum for the stringy AdS3 × S3 × S3 × S1 WZW model Dei, A.; Sfondrini, A. Journal of High Energy Physics, Vol. 2019, Issue 2 https://doi.org/10.1007/jhep02(2019)072	journal	February 2019
A note on three-point functions of unprotected operators Bianchi, Marco S. Journal of High Energy Physics, Vol. 2019, Issue 3 https://doi.org/10.1007/jhep03(2019)154	journal	March 2019
On structure constants with two spinning twist-two operators Bianchi, Marco S. Journal of High Energy Physics, Vol. 2019, Issue 4 https://doi.org/10.1007/jhep04(2019)059	journal	April 2019
Octagons I: combinatorics and non-planar resummations Bargheer, Till; Coronado, Frank; Vieira, Pedro Journal of High Energy Physics, Vol. 2019, Issue 8 https://doi.org/10.1007/jhep08(2019)162	journal	August 2019
More exact results in the Wilson loop defect CFT: bulk-defect OPE, nonplanar corrections and quantum spectral curve Giombi, Simone; Komatsu, Shota Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 12 https://doi.org/10.1088/1751-8121/ab046c	journal	February 2019
Octagons I: combinatorics and non-planar resummations Bargheer, Till; Coronado, Frank; Vieira, Pedro Berlin; Heidelberg : Springer https://doi.org/10.15488/11307	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 Dei, Andrea; Sfondrini, Alessandro ETH Zurich https://doi.org/10.3929/ethz-b-000328650	text	January 2019
On structure constants with two spinning twist-two operators Bianchi, Marco S. arXiv https://doi.org/10.48550/arxiv.1901.00679	text	January 2019

Similar Records

Nonperturbative random matrix model of

N = 2

JT supergravity

Journal Article · 2024 · Physical Review. D. · OSTI ID:2478949

Johnson, Clifford V.

Exact Three-Point Functions of Determinant Operators in Planar

N = 4

Supersymmetric Yang-Mills Theory

Journal Article · 2019 · Physical Review Letters · OSTI ID:1573435

Jiang, Yunfeng; Komatsu, Shota; Vescovi, Edoardo

Manifestly supersymmetric effective Lagrangians on BPS solitons

Journal Article · 2006 · Physical Review. D, Particles Fields · OSTI ID:20774931

Eto, Minoru; Isozumi, Youichi; Nitta, Muneto; +2 more

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Elementary Particles and Fields
correlation function
expansion 1/N color
integrability
invariance: gauge

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

Citation Formats

References (46)

Cited By (8)

Similar Records

Related Subjects

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