Oscillating multiple giants

Abstract

Abstract We propose a new example of the AdS/CFT correspondence between the system of multiple giant gravitons in AdS5× S5 and the operators with O(Nc) dimensions in $$ \mathcal{N} $$ N = 4 super Yang-Mills. We first extend the mixing of huge operators on the Gauss graph basis in the $$ \mathfrak{su}(2) $$ su 2 sector to all loops of the ’t Hooft coupling, by demanding the commutation of perturbative Hamiltonians in an effective U(p) theory, where p corresponds to the number of giant gravitons. The all-loop dispersion relation remains gapless at any λ, which suggests that harmonic oscillators of the effective U(p) theory should correspond to the classical motion of the D3-brane that is continuously connected to non-maximal giant gravitons.