Generating functions for giant graviton bound states

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 (eigenstates dilatation operator) known Gauss graph operators. Our give simple construction were previously obtained using Fourier transform on double coset. new description provides natural starting point systematic $$ \frac{1}{N} 1 N expansion these well action them, in terms saddle evaluation their integral representation.