From lightcone actions to maximally supersymmetric amplitudes

Details From lightcone actions to maximally supersymmetric amplitudes From lightcone actions to maximally supersymmetric amplitudes

2011-03-02

arxiv.org/abs/1103.0322v2

JHEP 1106:024,2011

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, 2 figures, v2: title modified, published version

Scientific paper

10.1007/JHEP06(2011)024

In this article actions for N=4 SYM and 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 supergravity 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 N=4 SYM and the four-point 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 path integrals are discussed in the context of the double-copy property relating N=4 SYM theory to N=8 supergravity.

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