The dynamics of open string-membrane systems
No Thumbnail Available
Date
2008-07-18T10:58:09Z
Authors
Stephanou, Michael Jared
Journal Title
Journal ISSN
Volume Title
Publisher
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.