Minimal Off-Shell Supergravity in Five Dimensions

TL;DR

This paper develops an off-shell formulation of $N=2$ Poincaré supergravity in five dimensions, addressing a notable gap in higher dimensional off-shell constructions. Starting from a five dimensional abelian SYM current multiplet, Zucker derives a linearized minimal multiplet, promotes it to a full nonlinear minimal multiplet, and introduces a nonlinear multiplet to obtain a physical invariant action. The resulting theory uses supercovariant quantities and a gauge-fixed SU(2), with the action decomposed into an on-shell part $L_1$ and off-shell parts $L_2$ and $L_3$, reducing to the standard on-shell five dimensional supergravity once auxiliaries are eliminated. This construction provides a concrete framework for 5D SUSY on manifolds and boundaries and sets the stage for gauged or AdS extensions in five dimensions.

Abstract

We give an off-shell formulation of N=2 Poincare supergravity in five dimensions