Off-shell d=5 Supergravity coupled to Matter-Yang-Mills System

TL;DR

This work constructs an off-shell formulation of a five-dimensional supergravity theory coupled to matter-Yang-Mills systems, retaining all auxiliary fields to keep supersymmetry transformations independent of the Lagrangian. It uses a tensor-calculus framework with a cubic norm function ${\cal N}(M)$ and a central-charge vector multiplet to build a general action for vector and hypermultiplets, including a Chern–Simons term and non-Abelian extensions. Through deliberate gauge fixing, field redefinitions, and elimination of auxiliary fields, the authors derive canonical Einstein and Rarita–Schwinger structures and express the full action as a sum ${\cal L}_{\rm hyper}+{\cal L}_{\rm vector}+{\cal L}_{\rm C-S}+{\cal L}_{\rm aux}$ in terms of independent variables, with an on-shell theory free of explicit $I=0$ contributions. They also present off-shell supersymmetry transformations in the revised basis and analyze compensator dynamics, gauged R-symmetry, and the scalar potential, providing a comprehensive framework for bulk-boundary couplings and potential D-brane constructions in $d=5$ supergravity.

Abstract

We present an off-shell formulation of matter-Yang-Mills system coupled to supergravity in five dimensional space-time. We give an invariant action for the general system of vector multiplets and hypermultiplets coupled to supergravity as well as the supersymmetry transformation rules. All the auxiliary fields are kept un-eliminated so that the supersymmetry transformation rules remain unchanged even when the action is changed.