Supersymmetry: Motivations and Concrete Applications

This lecture covers the motivations behind supersymmetry, including string theory, the hierarchy problem, and gauge coupling unification. It also discusses how quantum field theorists exploit symmetries, focusing on flavor symmetries and the hierarchy problem. The presentation progresses to concrete applications of supersymmetry, such as the construction of supermultiplets and the Coleman-Mandula theorem. The lecture concludes with an exploration of the algebraic structures underlying supersymmetry and the implications for particle physics.