Supersymmetric gauge theory: an application of group theory in high energy physics and starobinsky model of cosmological ination

Abstract

This thesis discusses the general role of symmetry in high-energy physics. It concentrates on the role of fermionic symmetry generators, which generate the symmetry known as supersymmetry. An extensive discussion of spinors in D-dimensions is given and the necessity of spinors is explained from a group theoretical point of view. The supersymmetric transformation rules of the elds are explained and Lagrangians for simple theories are explained. We generalize to SU(n) gauge theories and give a discussion of con nement in supersymmetric gauge theories. We also apply supersymmetry in the Starobinsky model of cosmological in ation by constructing a NSWZ model equivalent to the R2 Starobinsky model. A parametrically quadratic function, x(t) providing favourable conditions for in ation is found for eld, x in terms of a string modulus, t.