<p>This thesis deals with relativistic membranes and, in particular, a limit called stretched membranes. The thesis also considers the relation of membranes to the conjectured M-theory and string theory. The thesis is divided into two parts. One introductory part where I introduce areas which are of relevance for the second part.</p><p>The second part consists of the scientific papers.</p><p>In the first part I make a general introduction to string theory. Furthermore, I discuss different limits of membrane theory. Then, I make a short review of the different conjectures of M-theory and briefly mention different consistency checks of these conjectures. The last subject in the first part concerns an area, which is not</p><p>in direct connection to the other chapters in the thesis. This is a short introduction to the general treatment of theories with constraints.</p><p>The second part of the thesis consists of the included articles. The common topic of these is that they give a new approach to the treatment of membranes. We here make a partial gauge-fixing of the constraints which, by choosing an appropriate limit, will yield a perturbation theory around a free string-like theory. The stringlike</p><p>theory is the usual string theory with an extra parameter dependence. This perturbation theory we solve by infinitesimal canonical transformations.</p><p>The corresponding quantum theory is also discussed. We show that a particular ordering gives critical dimensions 27 and 11 for the bosonic and fermionic case respectively.</p>
| Identifer | oai:union.ndltd.org:UPSALLA/oai:DiVA.org:kau-1581 |
| Date | January 2006 |
| Creators | Björnsson, Jonas |
| Publisher | Karlstad University, Faculty of Technology and Science, Fakulteten för teknik- och naturvetenskap |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Licentiate thesis, comprehensive summary, text |
| Relation | Karlstad University Studies, 1403-8099 ; 2006:2 |
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