The construction of four-dimensional string models via nonabelian twist is discussed in an operator formalism. Features of Hilbert space related to nonabelian twists are studied from the group theoretical point of view. This enables global anomalies to be removed if one insists the vacuum states to be a representation of the nonabelian group. We present a systematic procedure for the identification of the final gauge group, whose rank is generically reduced in a nonabelian twist. This general method of model-building is applied to obtain all minimal-rank strings resulting from twists by finite nonabelian subgroups of SU(2). Their partition functions, vacuum representations, gauge groups, and the elimination of global anomalies are considered individually for each case.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.39431 |
| Date | January 1992 |
| Creators | Li, Zhishun |
| 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 | Doctor of Philosophy (Department of Physics.) |
| Rights | All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated. |
| Relation | alephsysno: 001312310, proquestno: NN80391, Theses scanned by UMI/ProQuest. |
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