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.

30 pages, 2 figures

References in corpus (14)

• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• Yangian Invariant Scattering Amplitudes in Supersymmetric Chern-Simons Theory
• Spinor Helicity and Dual Conformal Symmetry in Ten Dimensions
• On T-Duality and Integrability for Strings on AdS Backgrounds
• Dual Conformal Properties of Six-Dimensional Maximal Super Yang-Mills Amplitudes
• On the fermionic T-duality of the AdS_4 \times CP^3 sigma-model
• Simple loop integrals and amplitudes in N=4 SYM
• Eliminating spurious poles from gauge-theoretic amplitudes
• On AdS_4 x CP^3 T-duality
• Bonus Yangian Symmetry for the Planar S-Matrix of N=4 Super Yang-Mills
• First-quantized N=4 Yang-Mills
• Superconformal spaces and implications for superstrings

Cited by in corpus (4)

• Correlation functions of local composite operators from generalized unitarity
• The momentum amplituhedron of SYM and ABJM from twistor-string maps
• The Coulomb-branch S-matrix from massless amplitudes
• Scattering Amplitudes and BCFW in $\mathcal{N}=2^{\ast }$ Theory