... Compensators 1 12 3 .11 . Projection operators 12 0 3. 12 . On-shell representations and superfields 13 83 .13 . Off-shell field strengths and prepotentials 14 74. Classical, global, simple (N =1) superfields4 .1. ... ΓαSUPERSPACEor One thousand and onelessons in supersymmetry S. James Gates, Jr.Massachusetts Institute of Technology, Cambridge, Massachusetts(Present address: University of Maryland, College ... Introduction 1 2. A toy superspace 2. 1. Notation and conventions 7 2. 2. Supersymmetry and superfields 9 2. 3. Scalar multiplet 15 2. 4. Vector multiplet 18 2. 5. Other global gauge multiplets 28 2. 6. Supergravity...