  We re-examine the projective lightcone limit of the gauge-invariant
Green-Schwarz action on 5D anti-de Sitter x the five-sphere. It implies the
usual holography for AdS5, but also (a complex) one for S5. The result is N=4
projective superspace, which unlike N=4 harmonic superspace can describe N=4
super Yang-Mills off shell.
