Counting 1/8-BPS dual-giants

Abstract

We count 1/8-BPS states in type IIB string theory on AdS₅ × S⁵ background which carry three independent angular momenta on S⁵. These states can be counted by considering configurations of multiple dual-giant gravitons up to N in number which share at least four supersymmetries. We map this counting problem to that of counting the energy eigenstates of a system of N bosons in a 3-dimensional harmonic oscillator. We also count 1/8-BPS states with two independent non-zero spins in AdS₅ and one non-zero angular momentum on S⁵ by considering configurations of arbitrary number of giant gravitons that share at least four supersymmetries.