Off-shell N = 2 → N = 1 reduction in 4D conformal supergravity

Abstract

Abstract We discuss N = 2 → N = 1 reduction in four dimensional conformal supergravity. In particular, we keep the off-shell structure of supermultiplets (except hypermultiplets). As we will show, starting with (almost) off-shell conformal supergravity makes the procedure simpler than that from N = 2 Poincaré supergravity, which makes it easier to show the correspondence to the standard N = 1 conformal supergravity. We find that the N = 1 superconformal symmetry is simply realized by truncating the gravitino multiplet. We also discuss the consistency with the original N = 2 system and show the reduced N = 1 conformal supergravity action.