Chiral Superfields in IIB Supergravity

TL;DR

This paper explores the structure of superfields in IIB supergravity on $AdS_5 imes S^5$, showing how they relate to boundary superconformal fields and solving associated constraints using harmonic superspace.

Contribution

It introduces a harmonic superspace formulation for $D=4,N=4$ chiral superfields derived from $D=5,N=8$ superfields in IIB supergravity on $AdS_5 imes S^5$, providing a new method to solve boundary constraints.

Findings

Superfield expansion on $S^5$ yields $D=5,N=8$ chiral superfields.

Boundary superfields obey fourth-order constraints.

Harmonic superspace provides solutions via prepotential superfields.

Abstract

The field strength superfield of IIB supergravity on $AdS_5\xz S^5$ is expanded in harmonics on $S^5$ with coefficients which are $D=5, N=8$ chiral superfields. On the boundary of $AdS_5$ 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.