Introduction to supersymmetry and supergravity

Supersymmetry is a symmetry between bosonic and fermionic degrees offreedom and today a central topics in High Energy Physics. It also hasgrowing applications in Mathematics and other branches of Physics. The lecture course will cover the following topics:

• Supersymmetry algebra and its representation theory,
• Supersymmetric Lagrangians,
• Supersymmetric gauge theories theories,
• Extended and higher dimensional supersymmetry,
• Superconformal algebra and its representation theory,
• Non-renormalisation theorems, non-perturbative effects, holomorphy,
• Dynamics of N = 1 Supersymmetric gauge theories, holomorphicity, non-renormalization theorems and Seiberg duality
• Dynamics of N = 2 gauge theories and Seiberg–Witten theory
• Supergravity

Prerequisites: Quantum Field Theory and General Relativity