Abstract
6 dimensional maximal super Yang-Mills on-shell amplitudes are formulated in superspace using 6 dimensional spinors. The 3,4,5-point tree amplitudes are obtained by supersymmetrizing their bosonic counterparts and confirmed through the BCFW construction. In contrast to 4 dimensions this superspace is non-chiral, reflecting the fact that one cannot differentiate MHV from \( \overline {\text{MHV}} \) in 6 dimensions. Combined with unitarity methods, this superspace should be useful for the study of multi-loop D dimensional maximal super Yang-Mills and gravity amplitudes. Furthermore, the non-chiral nature gives a natural framework for an off-shell construction. We show this by matching our result with off-shell D=4 N=4 super Yang-Mills amplitudes, expressed in projective superspace.
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Dennen, T., Huang, Yt. & Siegel, W. Supertwistor space for 6D maximal super Yang-Mills. J. High Energ. Phys. 2010, 127 (2010). https://doi.org/10.1007/JHEP04(2010)127
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DOI: https://doi.org/10.1007/JHEP04(2010)127