TY - JOUR
T1 - Off-shell N = 2 → N = 1 reduction in 4D conformal supergravity
AU - Yamada, Yusuke
N1 - Funding Information:
The author is grateful to Hiroyuki Abe, Shuntaro Aoki, Daniel Butter for discussions on related issues and Renata Kallosh for comments on the manuscript. The author is supported by Stanford Institute for Theoretical Physics and by the US National Science Foundation Grant PHY-1720397.
Publisher Copyright:
© 2019, The Author(s).
PY - 2019/6/1
Y1 - 2019/6/1
N2 - 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.
AB - 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.
KW - Extended Supersymmetry
KW - Supergravity Models
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U2 - 10.1007/JHEP06(2019)002
DO - 10.1007/JHEP06(2019)002
M3 - Article
AN - SCOPUS:85067232052
SN - 1126-6708
VL - 2019
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 6
M1 - 2
ER -