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

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 Poincaré 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.

arXiv comment56 pages; v2: minor corrections, version published in PRD

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• Torus reduction of maximal conformal supergravity
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