
TL;DR
This paper explores the AdS/CFT correspondence involving multiple giant gravitons and their dual operators in super Yang-Mills theory, extending the analysis to all loops and revealing a gapless dispersion relation.
Contribution
It extends the mixing of large operators to all loops in the $su(2)$ sector and proposes an effective $U(p)$ theory describing the classical motion of giant gravitons.
Findings
All-loop dispersion relation remains gapless at any coupling.
Harmonic oscillators in the effective theory correspond to classical D3-brane motion.
The analysis connects non-maximal giant gravitons with classical oscillatory behavior.
Abstract
We propose a new example of the AdS/CFT correspondence between the system of multiple giant gravitons in AdSS and the operators with dimensions in super Yang-Mills. We first extend the mixing of huge operators on the Gauss graph basis in the sector to all loops of the 't Hooft coupling, by demanding the commutation of perturbative Hamiltonians in an effective theory, where corresponds to the number of giant gravitons. The all-loop dispersion relation remains gapless at any , which suggests that harmonic oscillators of the effective theory should correspond to the classical motion of the D3-brane that is continuously connected to non-maximal giant gravitons.
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