In this dissertation we study the dynamics of excited giant gravitons.
Giant gravitons are spherical membranes with a D3-brane dipole
charge. Giant gravitons are excited by attaching open strings to them.
We develop techniques to compute the one-loop anomalous dimensions
of operators in the N = 4 super Yang-Mills theory which are dual to
open strings ending on boundstates of sphere giant gravitons. The
results presented in this dissertation are applicable to excitations involving
an arbitrary number of strings. We consider open strings which
carry angular momentum on an S3 embedded in the S5 of the AdS5×S5
background. The problem of computing the one-loop anomalous dimensions
is replaced by the problem of diagonalizing an interacting
Cuntz oscillator Hamiltonian. We provide evidence that our Cuntz oscillator
dynamics show how Chan-Paton factors emerge dynamically
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:wits/oai:wiredspace.wits.ac.za:10539/4986 |
| Date | 26 June 2008 |
| Creators | Bekker, David |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Format | 580780 bytes, application/pdf, application/pdf |
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