Off-shell $N=2\to N=1$ reduction in 4D conformal supergravity

Abstract

We discuss $N=2\to N=1$ 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.

23 pages

References in corpus (5)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Flux Compactification
• The N=1 Low-Energy Effective Action of Spontaneously Broken N=2 Supergravities
• Off-shell Poincare Supergravity
• U(N) Gauged N=2 Supergravity and Partial Breaking of Local N=2 Supersymmetry