Quantum Gravity and Superstrings: Applications to Cosmology and Quantization of Superstrings.

Physics

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Scientific paper

Three problems are investigated in this thesis. In chapter one we derive the conditions for the existence of integral constraints on energy-momentum perturbations in an arbitrary background spacetime using a covariant formalism. In chapter two, Polyakov's two dimensional model of gravity in light-cone gauge is extended to both N = 1over2 and N = 1 supersymmetric cases. Finally in chapter three we perform a BRST quantization for the Type II Green-Schwarz string. It is found that a quadratic ghost interaction is sufficient for the truncation proposed by Kallosh and Rahmanov. The cancellation of the conformal anomaly in ten dimension is also shown.

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