Hyper-Dilaton Weyl Multiplets of 5D and 6D Minimal Conformal Supergravity

TL;DR

This paper introduces new hyper-dilaton Weyl multiplets for 5D and 6D conformal supergravity by coupling standard Weyl multiplets with hypermultiplets, leading to novel supergravity models with AdS vacua.

Contribution

It extends recent 4D analysis to 5D and 6D, constructing new hyper-dilaton Weyl multiplets and a hyper-dilaton Poincaré supergravity with scalar potentials.

Findings

New hyper-dilaton Weyl multiplets for 5D and 6D

Construction of a hyper-dilaton Poincaré supergravity in 5D

Scalar potential admits AdS$_5$ vacua

Abstract

By extending the recent analysis of arXiv:2203.12203 for ${\mathcal{N}}=2$ conformal supergravity in four dimensions, we define new hyper-dilaton Weyl multiplets for five-dimensional ${\mathcal{N}}=1$, and six-dimensional ${\mathcal{N}}=(1,0)$ conformal supergravities. These are constructed by coupling the five- and six-dimensional standard Weyl multiplets to on-shell hypermultiplets and reinterpreting the systems as new multiplets of conformal supergravity. In the five-dimensional case, we also construct a new hyper-dilaton Poincar\'e supergravity by coupling to an off-shell vector multiplet compensator. As in four dimensions, a $BF$-coupling induces a non-trivial scalar potential for the five-dimensional dilaton that admits AdS$_5$ vacua.