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Title: Dual Conformal Structure Beyond the Planar Limit

Abstract

The planar scattering amplitudes of N = 4 super-Yang-Mills theory display symmetries and structures which underlie their relatively simple analytic properties such as having only logarithmic singularities and no poles at infinity. Recent work shows in various nontrivial examples that the simple analytic properties of the planar sector survive into the nonplanar sector, but this has yet to be understood from underlying symmetries. Here, we explicitly show that for an infinite class of nonplanar integrals that covers all subleading-color contributions to the two-loop four- and five-point amplitudes of N = 4 super-Yang-Mills theory, symmetries analogous to dual conformal invariance exist. A natural conjecture is that this continues to all amplitudes of the theory at any loop order.

Authors:
 [1];  [1];  [1];  [1]
  1. Univ. of California, Los Angeles, CA (United States). Mani L. Bhaumik Inst. for Theoretical Physics, Dept. of Physics and Astronomy
Publication Date:
Research Org.:
Univ. of California, Los Angeles, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1471787
Alternate Identifier(s):
OSTI ID: 1498982
Grant/Contract Number:  
SC0009937
Resource Type:
Journal Article: Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 121; Journal Issue: 12; 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

Citation Formats

Bern, Zvi, Enciso, Michael, Shen, Chia-Hsien, and Zeng, Mao. Dual Conformal Structure Beyond the Planar Limit. United States: N. p., 2018. Web. doi:10.1103/physrevlett.121.121603.
Bern, Zvi, Enciso, Michael, Shen, Chia-Hsien, & Zeng, Mao. Dual Conformal Structure Beyond the Planar Limit. United States. doi:10.1103/physrevlett.121.121603.
Bern, Zvi, Enciso, Michael, Shen, Chia-Hsien, and Zeng, Mao. Fri . "Dual Conformal Structure Beyond the Planar Limit". United States. doi:10.1103/physrevlett.121.121603.
@article{osti_1471787,
title = {Dual Conformal Structure Beyond the Planar Limit},
author = {Bern, Zvi and Enciso, Michael and Shen, Chia-Hsien and Zeng, Mao},
abstractNote = {The planar scattering amplitudes of N = 4 super-Yang-Mills theory display symmetries and structures which underlie their relatively simple analytic properties such as having only logarithmic singularities and no poles at infinity. Recent work shows in various nontrivial examples that the simple analytic properties of the planar sector survive into the nonplanar sector, but this has yet to be understood from underlying symmetries. Here, we explicitly show that for an infinite class of nonplanar integrals that covers all subleading-color contributions to the two-loop four- and five-point amplitudes of N = 4 super-Yang-Mills theory, symmetries analogous to dual conformal invariance exist. A natural conjecture is that this continues to all amplitudes of the theory at any loop order.},
doi = {10.1103/physrevlett.121.121603},
journal = {Physical Review Letters},
issn = {0031-9007},
number = 12,
volume = 121,
place = {United States},
year = {2018},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/physrevlett.121.121603

Citation Metrics:
Cited by: 10 works
Citation information provided by
Web of Science

Figures / Tables:

Figure 1 Figure 1: Planar double box with dual coordinates and the crossed-box related to it by moving leg 3 to the central rung.

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Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.