Hyperdilaton Weyl multiplets of 5D and 6D minimal conformal supergravity

Abstract

By extending the recent analysis [G. Gold, S. Khandelwal, W. Kitchin, and G. Tartaglino-Mazzucchelli, J. High Energy Phys. 09 (2022) 016] for $\mathcal{N}=2$ conformal supergravity in four dimensions, we define new hyperdilaton 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 hyperdilaton Poincar\'e supergravity by coupling to an off-shell vector multiplet compensator. As in four dimensions, a $BF$ coupling induces a nontrivial scalar potential for the five-dimensional dilaton that admits ${\mathrm{AdS}}_{5}$ vacua.