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Title: The duality between color and kinematics and its applications

Journal Article · · Journal of Physics. A, Mathematical and Theoretical
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Abstract This review describes the duality between color and kinematics and its applications, with the aim of gaining a deeper understanding of the perturbative structure of gauge and gravity theories. We emphasize, in particular, applications to loop-level calculations, the broad web of theories linked by the duality and the associated double-copy structure, and the issue of extending the duality and double copy beyond scattering amplitudes. The review is aimed at doctoral students and junior researchers both inside and outside the field of amplitudes and is accompanied by various exercises.

Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0009937
OSTI ID:
2427427
Journal Information:
Journal of Physics. A, Mathematical and Theoretical, Journal Name: Journal of Physics. A, Mathematical and Theoretical Journal Issue: 33 Vol. 57; ISSN 1751-8113
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United Kingdom
Language:
English

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Double-copy constructions and unitarity cuts journal May 2016
Static spherically symmetric Kerr-Schild metrics and implications for the classical double copy journal August 2016
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Five-loop four-point integrand of N = 8 supergravity as a generalized double copy journal December 2017
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New relations for graviton-matter amplitudes journal July 2018
Ultraviolet properties of N = 8 supergravity at five loops journal October 2018
Classical double copy: Kerr-Schild-Kundt metrics from Yang-Mills theory journal December 2018
Effective action of dilaton gravity as the classical double copy of Yang-Mills theory journal January 2019
Positive helicity Einstein-Yang-Mills amplitudes from the double copy method journal February 2019
Maximally supersymmetric amplitudes at infinite loop momentum journal March 2019
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Minimal Basis for Gauge Theory Amplitudes journal October 2009
Perturbative Quantum Gravity as a Double Copy of Gauge Theory journal August 2010
Color Dual Form for Gauge-Theory Amplitudes journal August 2011
Absence of Three-Loop Four-Point Ultraviolet Divergences in N = 4 Supergravity journal May 2012
New Relations for Three-Dimensional Supersymmetric Scattering Amplitudes journal June 2012
Five-Loop Four-Point Amplitude of N = 4 Super-Yang-Mills Theory journal December 2012
Equivalent D = 3 Supergravity Amplitudes from Double Copies of Three-Algebra and Two-Algebra Gauge Theories journal April 2013
Ultraviolet Properties of N = 4 Supergravity at Four Loops journal December 2013
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Direct Proof of the Tree-Level Scattering Amplitude Recursion Relation in Yang-Mills Theory journal May 2005
Cancellations Beyond Finiteness in N = 8 Supergravity at Three Loops journal April 2007
Gravitationally Dressed Parke–Taylor Amplitudes journal December 1997
Color-kinematic duality in ABJM theory without amplitude relations journal January 2017
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The diameter of the thick part of moduli space and simultaneous Whitehead moves journal July 2013
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