Abstract In the 1970s Nicolas proved that coefficients $$p_d(n)$$ pd(n) defined by generating function $$\begin{aligned} \sum _{n=0}^{\infty } p_d(n) \, q^n = \prod _{n=1}^{\infty \...

A bstract We construct generating functions for operators dual to systems of giant gravitons with open strings attached. These have a bare dimension order N so that the usual methods used solve planar limit are not applicable. The given as integrals over auxiliary variables, which implement symmetrization and antisymmetrization indices fields from operator is composed. Operators good scaling (e...