$$ \mathcal{N} $$ = 2 conformal supergravity in five dimensions

Abstract

$$ \mathcal{N} $$ 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 $$ \mathcal{N} $$ N = 2 vector multiplet in five dimensions coupled to conformal supergravity. We also comment on Nahm’s classification regarding the non-existence of an $$ \mathcal{N} $$ N = 2 superconformal algebra in five dimensions and why it does not contradict the existence of $$ \mathcal{N} $$ N = 2 conformal supergravity in five dimensions that is constructed in this paper.