Giant Gravitons - with Strings Attached (II)

TL;DR

This paper derives a bosonic lattice Hamiltonian to describe one-loop mixing of operators dual to open strings on giant gravitons in AdS/CFT, providing a geometric interpretation and discussing stability.

Contribution

It introduces a new bosonic lattice Hamiltonian for open string operators on giant gravitons, linking gauge theory labels to geometry and analyzing stability.

Findings

Derived a bosonic lattice Hamiltonian for operator mixing.

Provided a geometric interpretation of gauge theory labels.

Argued that AdS giant gravitons are unstable under certain excitations.

Abstract

We study the one-loop anomalous dimensions of operators in the ${\cal N}=4$ super Yang-Mills theory that are dual to open strings ending on giant gravitons. We consider both AdS and sphere giants as well as boundstates of them. The open strings we consider carry angular momentum on an S^3 embedded in the S^5 of the AdS$_5\times$S^5 background. The main result of this article is that we derive a bosonic lattice Hamiltonian that describes the one loop mixing of the operators dual to the general excited giant graviton system. A semiclassical analysis of the Hamiltonian allows us to give a geometrical interpretation for the labeling used to describe the gauge theory operators. We also argue that AdS giant gravitons are unstable against the excitations considered.