Giant Gravitons - with Strings Attached (III)

TL;DR

This paper develops a method to compute one-loop anomalous dimensions of operators in N=4 super Yang-Mills theory related to open strings on giant graviton bound states, generalizing previous single-string results.

Contribution

It introduces techniques to handle arbitrary open string excitations on giant gravitons, using Cuntz oscillator Hamiltonians to analyze their dynamics and Chan-Paton factors.

Findings

Generalized single string results to multiple open strings

Diagonalized an interacting Cuntz oscillator Hamiltonian

Demonstrated dynamic emergence of Chan-Paton factors

Abstract

We develop techniques to compute the one-loop anomalous dimensions of operators in the ${\cal N}=4$ super Yang-Mills theory that are dual to open strings ending on boundstates of sphere giant gravitons. Our results, which are applicable to excitations involving an arbitrary number of open strings, generalize the single string results of hep-th/0701067. 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 problem of computing the one loop anomalous dimensions is replaced with the problem of diagonalizing an interacting Cuntz oscillator Hamiltonian. Our Cuntz oscillator dynamics illustrates how the Chan-Paton factors for open strings propagating on multiple branes can arise dynamically.