Dilaton Weyl multiplets for $N = 3$ conformal supergravity in four dimensions

TL;DR

This paper constructs a new dilaton Weyl multiplet for four-dimensional $N=3$ conformal supergravity by coupling an on-shell vector multiplet and reformulating the auxiliary fields, resulting in a multiplet with reduced R-symmetry.

Contribution

It introduces a novel dilaton Weyl multiplet for $N=3$ supergravity, utilizing vector multiplet coupling and field equations to modify auxiliary fields and R-symmetry structure.

Findings

Constructed the dilaton Weyl multiplet for $N=3$ supergravity.

Rewrote the multiplet with $SU(2) imes U(1)$ R-symmetry.

Demonstrated the coupling of on-shell vector multiplet to the standard Weyl multiplet.

Abstract

We construct a dilaton Weyl multiplet for $N = 3$ conformal supergravity in four dimensions. We couple an on-shell vector multiplet to the standard Weyl multiplet and use the field equations of the vector multiplet to replace some of the components of the auxiliary fields of the standard Weyl multiplet with the fields of the vector multiplet and some dual gauge fields. The R-symmetry of the multiplet is $SU(2) \times U(1) \times U(1)$. Furthermore, we gauge fix one of the two $U(1)$ symmetries and rewrite the result for the dilaton Weyl multiplet with $SU(2) \times U(1)$ R-symmetry.