Five-dimensional Superfield Supergravity

TL;DR

This paper develops a five-dimensional superfield supergravity framework using projective superspace, enabling the description of matter couplings and supersymmetric models with potential extensions to other dimensions.

Contribution

It introduces a novel projective superspace formulation for 5D supergravity with matter couplings, including off-shell multiplets and an invariant action principle.

Findings

Constructed matter-coupled supergravity models in 5D

Developed a projective-invariant action principle

Demonstrated potential extension to 4D N=2 supergravity

Abstract

We present a projective superspace formulation for matter-coupled simple supergravity in five dimensions. Our starting point is the superspace realization for the minimal supergravity multiplet proposed by Howe in 1981. We introduce various off-shell supermultiplets (i.e. hypermultiplets, tensor and vector multiplets) that describe matter fields coupled to supergravity. A projective-invariant action principle is given, and specific dynamical systems are constructed including supersymmetric nonlinear sigma-models. We believe that this approach can be extended to other supergravity theories with eight supercharges in $D\leq 6$ space-time dimensions, including the important case of 4D N=2 supergravity.