Lecture Notes
Section 1: The Dirac Equation in Flat Space
Section 2: The Vielbeins in General Relativity
Section 3: Relation between the vielbein and metric formulations
Section 4: Rigid Lorentz Symmetry
Section 5: Local Lorentz Symmetry
Section 6: Review of the Basics of Yang-Mills Theory
Section 7: The metric and vielbein formulations of GR as Yang-Mills gauge theories
Section 8: Torsion or No Torsion
Section 9: Using forms to compute curvatures in GR
Section 10: Supersymmetry and Supergravity in Quantum Mechanics
Section 11: Two-Dimensional Supersymmetry
Section 12: Two-Dimensional Supergravity
Section 13: Two-Dimensional Superspaces
Section 14: Supercovariance and Einstein Covariance
Section 15: AdS spaces, Killing vectors and Killing spinors from Supergravity
Section 16: General Theory of Coset Manifolds
Section 17: General Theory of Group Manifolds