In this thesis, we will use topological field theory to do an explicit computation of a one-loop partition function over a 6-dimensional manifold. This is a topological invariant, which can be used to distinguish geometries. ...

This thesis explores the mathematical concepts of differential forms and their applications in higher dimensional geometries, known as manifolds. We will see how the topological invariants of a geometry are related to ...

We study the gauging of a discrete ℤ3 symmetry in the five-dimensional superconformal TN theories. We argue that this leads to an infinite sequence of five-dimensional superconformal theories with either E6 × SU(N) or SU(3) ...

It is believed, but not demonstrated, that the large radius massless spectrum of a heterotic string theory compactified to four-dimensional Minkowski space should obey equations that split into ‘F-terms’ and ‘D-terms’ in ...

We consider the heterotic string on Calabi-Yau manifolds admitting a Strominger-Yau-Zaslow fibration. Upon reducing the system in the T3-directions, the Hermitian Yang-Mills conditions can then be reinterpreted as a complex ...