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

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## 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.

## Keywords

Extended Supersymmetry Supergravity Models## Notes

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