The dynamics of open string-membrane systems

Abstract

In this dissertation, the interacting Cuntz chain Hamiltonian for an open string - giant graviton system with an arbitrary number of strings attached is derived, thus generalizing the single string results of hep-th/0701067. The open strings considered carry angular momentum on an S3 embedded in the S5 of the AdS5£S5 background. In the process, we construct operators in the N = 4 super Yang-Mills theory dual to states with open strings ending on boundstates of sphere giant gravitons. The techniques we develop facilitate the computation of one-loop anomalous dimensions of these operators. 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.