On the problem of spacetime symmetries in the theory of supergravity. part II:N=2 supergravity and spinorial Lie derivatives

The definition of a spacetime symmetry, developed in a previous paper in the framework of simple (N=1) supergravity, is extended to theN=2 theory. As an application, the properties of theN=2 plane wave are studied. The mathematically related question of defining the Lie derivative of a spinor is also considered.