An off-shell formulation for internally gauged D=5, N=2 supergravity from superconformal methods

TL;DR

This paper develops a new off-shell formulation of five-dimensional N=2 supergravity using superconformal methods, featuring an internal gauging approach that may extend to more complex models.

Contribution

It introduces a novel off-shell supergravity formulation with internal gauging via the Dilaton Weyl Multiplet, avoiding external vector multiplets.

Findings

The new formulation is equivalent to Einstein-Maxwell supergravity on-shell.

It demonstrates an internal gauging method that can be applied to higher derivative invariants.

The approach simplifies the construction of supergravity models with internal gauge symmetries.

Abstract

We use the superconformal method to construct a new formulation for pure off-shell D=5, N=2 Poincar\'e supergravity and present its internal gauging. The main difference between the traditional formulation and our new formulation is the choice of the Dilaton Weyl Multiplet as the background Weyl Multiplet and the choice of a Linear compensating Multiplet. We do not introduce an external vector multiplet to gauge the theory, but instead use the internal vector of the Dilaton Weyl Multiplet. We show that the corresponding on-shell theory is Einstein-Maxwell supergravity. We believe that this gauging method can be applied in more complicated scenarios such as the inclusion of off-shell higher derivative invariants.