K–K excitations on AdS 5× S5 as N=4 “primary” superfields

Abstract

We show that the K–K spectrum of IIB string on AdS 5× S 5 is described by “twisted chiral” N=4 superfields, naturally described in “harmonic superspace”, obtained by taking suitable gauge singlets polynomials of the D3-brane boundary SU( n) superconformal field theory. To each p-order polynomial is associated a massive K–K short representation with 256× 1 12 p 2(p 2−1) states. The p=2 quadratic polynomial corresponds to the “supercurrent multiplet” describing the “massless” bulk graviton multiplet.