Giant Gravitons - with Strings Attached (III)

Understand

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.