Geometric and Non-Geometric Backgrounds of String Theory
dc.contributor.advisor
Figueroa-O'Farrill, Jose
en
dc.contributor.author
Moutsopoulos, George
en
dc.date.accessioned
2009-11-02T16:04:48Z
dc.date.available
2009-11-02T16:04:48Z
dc.date.issued
2008
dc.description.abstract
This thesis explores the geometry of string theory backgrounds and the nongeometric
features of string theory that arise due to T-duality. For this reason,
it is divided into two complementary parts. Part I deals with the superalgebras
of symmetries of string theory and M-theory backgrounds, the so-called Killing
superalgebras. It is shown that one can define a Lie superalgebra consisting
of the infinitesimal field-preserving isometries and the supersymmetries of the
background. We also explore the extension of a Killing superalgebra with brane
charges. Part II deals with non-geometric backgrounds. In particular, we adopt
the framework of the doubled geometry, also known as the doubled torus. We
analyze the hamiltonian dynamics of the system and quantize a model T-fold.
Finally we extended the doubled torus system to include worldsheet supersymmetry.
Throughout part II, we focus on the equivalence, classical and quantum,
of the doubled formalism with the conventional formulation.
en
dc.identifier.uri
http://hdl.handle.net/1842/3167
dc.language.iso
en
dc.publisher
The University of Edinburgh
en
dc.subject
Mathematics
en
dc.subject
String Theory
en
dc.title
Geometric and Non-Geometric Backgrounds of String Theory
en
dc.type
Thesis or Dissertation
en
dc.type.qualificationlevel
Doctoral
en
dc.type.qualificationname
PhD Doctor of Philosophy
en
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