GLOBALLY SUPERSYMMETRIC MULTIPLETS WITHOUT LOCAL EXTENSIONS

Locally supersymmetric scalar multiplets with an additional external spinor index are constructed. It is shown which other global multiplets with spinor indices cannot be made local in such a way as to give the correct local commutator algebra. A global vector multiplet with spinor index, formed as a spinor derivative of a scalar multiplet, is also given. A formula for commuting supercovariant derivatives and supersymmetry variations is presented. © 1979 The American Physical Society.