Non-Chiral S-Matrix of N=4 Super Yang-Mills

Abstract

We discuss the construction of non-chiral S-matrix of four-dimensional N=4 super Yang-Mills using a non-chiral superspace. This construction utilizes the non-chiral representation of dual superconformal symmetry, which is the natural representation from the point of view of the six-dimensional parent theory. The superspace in discussion is projective superspace constructed by Hatsuda and Siegel, and is based on a half coset U(2,2|4)/U(1,1|2)^2_+. We obtain the non-chiral representation of the five-point and general n-point MHV and anti-MHV amplitude. The non-chiral formulation can be straightforwardly lifted to six dimensions, which is equivalent to massive amplitudes in four dimensions.

arXiv comment30 pages, 2 figures

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Cited by in corpus (12)

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• One-loop four-point amplitudes in pure and matter-coupled N <= 4 supergravity
• Harmony of Super Form Factors
• Massive amplitudes on the Coulomb branch of N=4 SYM
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• Correlation functions of local composite operators from generalized unitarity
• The Coulomb-branch S-matrix from massless amplitudes
• Scattering Amplitudes and BCFW in $\mathcal{N}=2^{\ast }$ Theory