N = 2 conformal supergravity in five dimensions

A bstract N N = 2 conformal supergravity in five dimensions is constructed via a systematic off-shell reduction scheme from maximal conformal supergravity in six dimensions which is (2 , 0). The dimensional reduction of the (2 , 0) Weyl multiplet in six dimensions gives us the Weyl multiplet in five dimensions which is a dilaton Weyl multiplet as it has a dilaton scalar. The dimensional reduction of the (2 , 0) tensor multiplet in six dimensions gives us the N N = 2 vector multiplet in five dimensions coupled to conformal supergravity. We also comment on Nahm’s classification regarding the non-existence of an N N = 2 superconformal algebra in five dimensions and why it does not contradict the existence of N N = 2 conformal supergravity in five dimensions that is constructed in this paper.