$SU(2)\times SU(2)$ dilaton Weyl multiplets for maximal conformal supergravity in four, five, and six dimensions

TL;DR

This paper constructs new dilaton Weyl multiplets with $SU(2) imes SU(2)$ R-symmetry for conformal supergravity in four, five, and six dimensions, expanding the understanding of supergravity multiplet structures.

Contribution

It introduces novel dilaton Weyl multiplets with $SU(2) imes SU(2)$ R-symmetry in 4, 5, and 6 dimensions, including the first such construction in six dimensions.

Findings

New $SU(2) imes SU(2)$ dilaton Weyl multiplets in 4 and 5 dimensions.

First construction of a 6D $(2,0)$ dilaton Weyl multiplet.

Enhanced understanding of supergravity multiplet structures.

Abstract

New dilaton Weyl multiplets are constructed in four and five space-time dimensions for $N=4$ and $N=2$ conformal supergravity respectively. They are constructed from a mixture of the old dilaton weyl multiplets with an on-shell vector multiplet. The old dilaton Weyl multiplets have a $USp(4)$ R-symmetry group whereas the new multiplets have $SU(2)\times SU(2)$ R-symmetry, which is a subgroup of $USp(4)$. In six dimensions, for the first time we construct a dilaton Weyl multiplet for $(2,0)$ conformal supergravity from a mixture of the standard Weyl multiplet and a tensor multiplet. The R-symmetry group for the dilaton Weyl multiplet in six dimensions is also $SU(2)\times SU(2)$.