Variant dilaton Weyl Multiplet for N=3 conformal supergravity in four dimensions

TL;DR

This paper constructs a new variant of the dilaton Weyl multiplet for four-dimensional N=3 conformal supergravity, featuring an extended R-symmetry and a novel two-step construction process involving vector multiplets.

Contribution

It introduces a new dilaton Weyl multiplet for N=3 supergravity with an extended R-symmetry, constructed via coupling vector multiplets and solving field equations.

Findings

New dilaton Weyl multiplet with SU(2) x U(1) x U(1) R-symmetry

Two-step construction method involving vector multiplets

Explicit field content and auxiliary field relations

Abstract

We construct a new dilaton Weyl multiplet for $\mathcal{N}=3$ conformal supergravity in four dimensions. The R-symmetry realized on this dilaton Weyl multiplet is $SU(2) \times U(1) \times U(1)$. The construction follows a two-step procedure. Firstly, two on-shell vector multiplets are coupled to the standard Weyl multiplet. Secondly, using the field equations of the vector multiplets, some of the auxiliary fields of the standard Weyl multiplet are solved in terms of the fields belonging to the vector multiplets and some dual gauge fields. The remaining fields of the standard Weyl multiplet combine with the vector multiplet fields and the dual gauge fields to constitute the new dilaton Weyl multiplet.