$\mathcal{N}=2$ dilaton-Weyl multiplets in 5D and Nishino-Rajpoot supergravity off-shell

TL;DR

This paper develops a detailed superconformal off-shell formulation for a specific five-dimensional $ ext{N}=2$ supergravity model, extending previous vector multiplet couplings and exploring higher curvature term applications.

Contribution

It introduces a novel off-shell superconformal formulation of 5D $ ext{N}=2$ supergravity with generalized vector multiplet couplings using a dilaton-Weyl multiplet.

Findings

Generalized vector multiplet couplings in 5D supergravity

Conditions for scalar manifold reduction to known cases

Proposal of higher curvature terms coupled to vector multiplets

Abstract

We describe in detail the derivation of a superconformal off-shell formulation of the alternative $\mathcal{N}=2$, $d=5$ ungauged supergravity of Nishino and Rajpoot, coupled to $n$ Abelian vector multiplets, using a general dilaton-Weyl multiplet. We generalize the vector multiplet coupling available in the literature and show under which assumptions that the scalar manifold reduces to the known case of SO(1,1) $\times$ SO(1,n)/SO(n). As an application of the formalism we propose generalized vector multiplet coupled higher curvature terms, whose construction we sketch briefly.