N=6 Supergravity on Ad S5 and the SU(2,2/3) Superconformal Correspondence

It is argued that N=6 supergravity on Ad S5, with the gauge group SU(3)× U(1) corresponds, at the classical level, to a subsector of the ‘chiral’ primary operators of N=4 Yang–Mills theories. This projection involves a ‘duality transformation’ of N=4 Yang–Mills theory and therefore can be valid if the coupling is at a self-dual point, or for those amplitudes that do not depend on the coupling constant.