Aspects of Conformal Supergravity

In these lectures we discuss $N$-extended conformal supergravity and its spectrum in four dimensions. These theories can be considered as the massless limit of Einstein-Weyl supergravity and by taking into account their enhanced gauge symmetries, we derive their massless spectrum, which in general contains a dipole-ghost graviton multiplet and an $N$-fold tripole-ghost gravitino multiplet.