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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:
 [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:
Journal Article: 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},
url = {https://www.osti.gov/biblio/1598214}, journal = {Physical Review Letters},
issn = {0031-9007},
number = 23,
volume = 121,
place = {United States},
year = {2018},
month = {12}
}

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Cited by: 27 works
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Works referenced in this record:

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    Works referencing / citing this record:

    Handling Handles: Nonplanar Integrability in $\mathcal{N}=4$ Supersymmetric Yang-Mills Theory
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    A note on three-point functions of unprotected operators
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    On structure constants with two spinning twist-two operators
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    Octagons I: combinatorics and non-planar resummations
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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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