Nontrivial extensions of the Poincare algebra to include supersymmetry and conformal symmetry. Spinors and Clifford algebras. Representation theory of the supersymmetry algebra and conformal algebra. N=1 models of supersymmetry in four dimensions. Scale dependence of supersymmetric gauge theories with matter. Additional topics at the discretion of the lecturer: supersymmetric quantum mechanics, constraints of conformal symmetry on correlation functions, Virasoro and super Virasoro symmetry in two dimensions, superspace techniques, supergravity, supersymmetric standard model, supersymmetry in other dimensions, supersymmetry breaking, extended supersymmetry, supersymmetric localization, and other suitable advanced topics.
You should be familiar with quantum field theory, special relativity and field theory in the Lagrangian formalism. Knowledge of Lie algebras is also an advantage. You are advised to take 7CCMMS32
Educational aims & objectives
Supersymmetry is one of the most promising approaches to understanding particle physics beyond the ‘standard model' and is also the underpinning of the most recent ideas in theoretical physics such as superstring theories. This course provides the mathematical background to this area and to enable one both to appreciate some of the beauty of this subject and also to prepare one to study the current research literature in this area.
Two hours of lectures and one hour of tutorial per week throughout the term