Supertwistor space for 6D maximal super Yang-Mills

Details Supertwistor space for 6D maximal super Yang-Mills Supertwistor space for 6D maximal super Yang-Mills

2009-10-14

arxiv.org/abs/0910.2688v3

JHEP 1004:127,2010

Physics

High Energy Physics

High Energy Physics - Theory

6 figures 28 pages. with better signs

Scientific paper

10.1007/JHEP04(2010)127

6D maximal super Yang-Mills on-shell amplitudes are formulated in superspace using 6 dimensional twistors. The 3,4,5-point tree amplitudes are obtained by supersymmetrizing their bosonic counterparts and confirmed through the BCFW construction. In contrast to 4D this superspace is non-chiral, reflecting the fact that one cannot differentiate MHV from $\bar{{\rm MHV}}$ in 6D. 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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