In this thesis, we shall consider a particularly important metric known as the AdS soliton through the context of brane worlds in an arbitrary number of extra dimensions. In this regard, we take as our motivation two of the most exciting recent developments in theoretical physics; namely the AdS/CFT correspondence and the RS and ADD brane world scenarios. We examine how our understanding of branes originally developed, both as fundamental extended objects from string theory and as a phenomenologically viable description of the universe, where we are thought to reside on a brane located in a higher dimensional bulk. We then discuss the AdS/CFT correspondence in which branes are used to study a conjectured duality between gravity in D dimensions and gauge theories in (D - 1) dimensions. It is in this context that the AdS soliton geometry first arises, as it proves quite useful for studying ordinary QCD-like gauge theories from the point of view of supergravity. We follow this by a discussion of how to make a viable brane world in six dimensions using the AdS soliton. We further discuss the cosmology of this and other related six dimensional models. After this, we generalize the AdS soliton to an arbitrary number of dimensions, greater than six, and compactify the extra dimensions so as to have a realistic low-energy effective theory in the standard four dimensions. We examine several realizations of the AdS soliton in higher dimensions, both analytically and numerically, and touch upon how it can nicely solve the hierarchy problem of scales in physics. Finally, we also briefly consider the cosmology of an AdS soliton brane world.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.80867 |
| Date | January 2003 |
| Creators | Roebke, Joshua |
| Contributors | Cline, James (advisor) |
| Publisher | McGill University |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Format | application/pdf |
| Coverage | Master of Science (Department of Physics.) |
| Rights | All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated. |
| Relation | alephsysno: 002086239, proquestno: AAIMQ98732, Theses scanned by UMI/ProQuest. |
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