Symmetries in string theory and conformal field theory


String theory has emerged over the last decades as a leading candidate for the description of quantum gravity and the fundamental interactions of Nature. Despite its successes, our current lack of understanding of the gauge symmetry principle underlying string theory stands in the way of giving a complete definition of the theory. Various arguments suggest that string theory possesses a vast gauge symmetry which mixes excitations of different spins, and which is spontaneously broken in the Minkowski vacuum. It is of great importance to find a formulation of the theory in its most symmetric phase, and this will be one of the goals of this project. Aided by insights from holographic duality, we aim to elucidate the symmetries and gauge-invariant interactions in this phase. Another goal is to use insights from string field theory and conformal field theory to address fundamental symmetries and universal behaviour in nature. Often such descriptions have relevance to the field of condensed matter physics, for example.