Symmetries of curved superspace in five dimensions

TL;DR

This paper develops a formalism for constructing supersymmetric backgrounds in five-dimensional conformal supergravity using superspace, reproduces known solutions, and introduces new off-shell supersymmetric sigma models with Kahler potentials.

Contribution

It introduces a new formalism for supersymmetric backgrounds in 5D supergravity and constructs a large family of off-shell supersymmetric sigma models with Kahler potentials.

Findings

Reproduces known supersymmetric solutions by Gauntlett et al.

Constructs a large family of off-shell supersymmetric sigma models.

Provides a formalism applicable to various 5D supergravity formulations.

Abstract

We develop a formalism to construct supersymmetric backgrounds within the superspace formulation for five-dimensional (5D) conformal supergravity given in arXiv:0802.3953. Our approach is applicable to any off-shell formulation for 5D minimal Poincare and anti-de Sitter supergravity theories realized as the Weyl multiplet coupled with two compensators. For those superspace backgrounds which obey the equations of motion for (gauged) supergravity, we naturally reproduce the supersymmetric solutions constructed a decade ago by Gauntlett et al. For certain supersymmetric backgrounds with eight supercharges, we construct a large family of off-shell supersymmetric sigma models such that the superfield Lagrangian is given in terms of the Kahler potential of a real analytic Kahler manifold.