Alternative Compactification of Superstring Related Theories

[摘要] The aim of this work is to consider the recently introduced ten dimensional Superstring theories and, by considering the low energy field theory limit, consider possible compactification schemes where the original ten dimensions split up into four observed space time dimensions and six highly curved, compactified dimensions. We shall attempt to find solutions which satisfy the classical equations of motion and then, using these solutions, we shall try to obtain schemes which give a spectrum of particles which is compatible with the observed spectrum. We shall, by considering situations where we allow nonzero torsion on the compactified 6-D manifold, investigate possibilities other than the Calabi-Yau spaces which are usually considered. In Chapter 0 we give a (very biased) review of particle physics and in Chapter 1 we give a little Superstring formalism. In Chapter 2 we discuss the low energy limit of Superstring theories and decide upon the lagrangian which we shall subsequently use. The two types of internal manifold which we shall consider are group manifolds and Coset spaces. We consider these because they provide a natural ansatz for a non-zero torsion. In Chapter 3 we attempt to find solutions to the equations of motion when the internal manifold is a group space and in Chapter 4 we discuss the consequence of any such solutions. In Chapters 5 and 6 we do the same for Non-Symmetric Coset Spaces and in Chapter 7 we look at Symmetric Coset Spaces. In Chapter 8 we return to the issue of what the low energy field theory should be.

[发布机构] University:University of Glasgow

[关键词] Theoretical physics