We study the effective action that governs heterotic string theory compactified on a four-dimensional, N = 1 supersymmetric background. A scaling symmetry of the four-dimensional field T that represents the breathing mode on of internal manifold is introduced. This symmetry, being valid at each order in both perturbative series of the theory (string-loop and sigma model expansions), is used to find restrictions on the terms that can correct the truncated supersymmetric functions entering the effective action. We derive the general form of these corrections and show that, contrary to earlier conjectures in the literature, loops are not a priori counted by the ratio T/S, in which T and S represents the standard four-dimensional breathing mode and dilaton fields. Some other symmetry considerations allow us to restrict even more the corrections to the truncated results. Our conclusions are extended to the cases with matter fields, and more than one moduli for the internal manifold. / Some regularization techniques for problems related to those encountered in the quantization of string theories are also presented in an appendix.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.61206 |
| Date | January 1991 |
| Creators | Aubin, David |
| 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: 001275714, proquestno: AAIMM74891, Theses scanned by UMI/ProQuest. |
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