AbstractThis thesis focuses on applying worldsheet conformal eld theories to study problems of time-dependence and moduli stabilisation as motivated by string cosmology. Firstly, we construct exact string backgrounds using conformal eld theories where the compact sectors are chosen such that the massless scalar moduli are naturally frozen. We term these models `- Gepner models' as they are related to the usual algebraic compactications called Gepner models. The sign of the charge decit categorises the compactications into two branches,
one of whom requires D-branes to stabilise the dilaton potential, resulting in a small negative cosmological constant. Secondly, we discuss tools to study the timelike Liouville theory for the supersymmetric case. We attempt to dene the timelike supersymmetric Liouville theory for the N = 1 case via an analytic continuation of the shift relations of the spacelike theory. Our methods have not yet led to a diagonal two-point function for the timelike N = 1 theory.
|Date of Award
|Andreas Recknagel (Supervisor) & Neil Lambert (Supervisor)