Abstract
In this article actions for \( \mathcal{N} = 4 \) SYM and \( \mathcal{N} = 8 \) supergravity are formulated in terms of a chiral superfield, which contains only the physical degrees of freedom of either theory. In these new actions, which originate from the lightcone superspace, the super-gravity cubic vertex is the square of the gauge theory one (omitting the color structures). Amplitude calculations using the corresponding Feynman supergraph rules are tedious, but can be simplified by choosing a preferred superframe. Recursive calculations of all MHV amplitudes in \( \mathcal{N} = 4 \) SYM and the four-point \( \mathcal{N} = 8 \) supergravity amplitude are shown to agree with the known results and connections to the BCFW recursion relations are pointed out. Finally, the new actions are discussed in the context of the double-copy property relating \( \mathcal{N} = 4 \) SYM theory to \( \mathcal{N} = 8 \) supergravity.
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ArXiv ePrint:1103.0322
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Broedel, J., Kallosh, R. From lightcone actions to maximally supersymmetric amplitudes. J. High Energ. Phys. 2011, 24 (2011). https://doi.org/10.1007/JHEP06(2011)024
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DOI: https://doi.org/10.1007/JHEP06(2011)024