Noncommutative Supersymmetric/Integrable Models and String Theory

Abstract

In this thesis my papers hep-th/0104190, hep-th/0310214, hep-th/0405072 and hep-th/0406065 are put into context. The thesis is mainly focused on noncommutative field theory and string theory, so results in the papers that are not related to this main theme are not discussed in detail. The thesis is almost selfcontained and in particular the first chapter might be useful as an introduction to non(anti)commutative geometry and its relation to superstring theory for beginners in the field. The following chapters also contain some review material that is not present in the papers, concerning some selected topics in the theory of integrable models and a discussion of the main features of the pure spinor approach to superstrings. The thesis was handed in in October 2004, so the bibliography only refers to work appeared on the web before this date.