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  Color/kinematics duality for general abelian orbifolds of N=4 super Yang-Mills theory

Chiodaroli, M., Jin, Q., & Roiban, R. (2014). Color/kinematics duality for general abelian orbifolds of N=4 super Yang-Mills theory. Journal of high energy physics: JHEP, 2014(01): 152. doi:10.1007/JHEP01(2014)152.

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 Creators:
Chiodaroli, Marco1, Author
Jin, Qingjun, Author
Roiban, Radu, Author
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24008              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: To explore color/kinematics duality for general representations of the gauge group we formulate the duality for general abelian orbifolds of the SU(N), N=4 super Yang-Mills theory in four dimensions, which have fields in the bi-fundamental representation, and use it to construct explicitly complete four-vector and four-scalar amplitudes at one loop. For fixed number of supercharges, graph-organized L-loop n-point integrands of all orbifold theories are given in terms of a fixed set of polynomials labeled by L representations of the orbifold group. In contrast to the standard duality-satisfying presentation of amplitudes of the N=4 super Yang-Mills theory, each graph may appear several times with different internal states. The color and R-charge flow provide a way to deform the amplitudes of orbifold theories to those of more general quiver gauge theories which do not necessarily exhibit color/kinematics duality on their own. Based on the organization of amplitudes required by the duality between color and kinematics in orbifold theories we show how the amplitudes of certain non-factorized matter-coupled supergravity theories can be found through a double-copy construction. We also carry out a comprehensive search for theories with fields solely in the adjoint representation of the gauge group and amplitudes exhibiting color/kinematics duality for all external states and find an interesting relation between supersymmetry and existence of the duality.

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 Dates: 2013-11-142014
 Publication Status: Issued
 Pages: 51 pages, 7 figures, PDFLaTex
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1311.3600
DOI: 10.1007/JHEP01(2014)152
 Degree: -

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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2014 (01) Sequence Number: 152 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: https://pure.mpg.de/cone/journals/resource/111021927548002