This paper addresses the fate of extended space-time symmetries, in particular conformal symmetry and supersymmetry, in two-dimensional Rindler space-time appropriate to a uniformly accelerated non... Show moreThis paper addresses the fate of extended space-time symmetries, in particular conformal symmetry and supersymmetry, in two-dimensional Rindler space-time appropriate to a uniformly accelerated non-inertial frame in flat 1+1-dimensional space-time. Generically, in addition to a conformal co-ordinate transformation, the transformation of fields from Minkowski to Rindler space is accompanied by local conformal and Lorentz transformations of the components, which also affect the Bogoliubov transformations between the associated Fock spaces. I construct these transformations for massless scalars and spinors, as well as for the ghost and super-ghost fields necessary in theories with local conformal and supersymmetries, as arising from coupling to two-dimensional (2-D) gravity or supergravity. Cancellation of the anomalies in Minkowski and in Rindler space requires theories with the well-known critical spectrum of particles that arise in string theory in the limit of infinite strings, and it is relevant for the equivalence of Minkowski and Rindler frame theories. Show less
Phenomenologically, cosmic inflation is a satisfying and well-tested description of the physics of the very early universe. During this epoch, the universe was dominated by high energy phenomena... Show morePhenomenologically, cosmic inflation is a satisfying and well-tested description of the physics of the very early universe. During this epoch, the universe was dominated by high energy phenomena that can only be truly understood in a quantum gravity theory such as string theory. In this thesis we show that the embedding of inflation in a string theoretic framework is very sensitive to the details of the theory. We consider both the low energy supergravity limit as well as a worldsheet set-up. Moreover, we investigate the constraints imposed by supersymmetry and conformal symmetry. Conformal symmetry is important both in the worldsheet theory as well as in a holographic description of inflation. In the latter case we investigate the imprints of conformal invariance on the (observable) statistical correlations in the cosmic microwave background radiation. Show less