Chiral Superfields in IIB Supergravity

The field strength superfield of IIB supergravity on $Ad{S}_5\text{xz}{S}^5$ is expanded in harmonics on $S^5$ with coefficients which are $D=5,N=8$ chiral superfields. On the boundary of $Ad{S}_5$ these superfields map to $D=4,N=4$ chiral superfields and both sets of superfields obey additional fourth-order constraints. The constraints on the $D=4,N=4$ chiral fields are solved using harmonic superspace in terms of prepotential superfields which couple in a natural way to composite operator multiplets of the boundary $N=4,D=4$ superconformal field theory.