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Title: Dual Conformal Structure Beyond the Planar Limit

Journal Article · · Physical Review Letters
 [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

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.

Research Organization:
Univ. of California, Los Angeles, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0009937
OSTI ID:
1471787
Alternate ID(s):
OSTI ID: 1498982
Journal Information:
Physical Review Letters, Vol. 121, Issue 12; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 21 works
Citation information provided by
Web of Science

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Cited By (9)

Dual conformal invariance for form factors journal February 2019
The two-loop five-point amplitude in N $$ \mathcal{N} $$ = 8 supergravity journal March 2019
All-loop cuts from the Amplituhedron journal April 2019
Analytic Result for a Two-Loop Five-Particle Amplitude text January 2019
Dual conformal invariance for form factors text January 2018
Analytic result for a two-loop five-particle amplitude text January 2018
The two-loop five-point amplitude in $\mathcal N=8$ supergravity text January 2019
All-loop cuts from the Amplituhedron text January 2019
Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops text January 2019

Figures / Tables (3)


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