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arXiv · 1806.10016

Aspects of Weyl Supergravity

Sergio Ferrara·Alex Kehagias·Dieter Lust
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Abstract

In this paper we study the spectrum of all conformal, ${\cal N}$-extended supergravities (${\cal N}=1,2,3,4$) in four space-time dimensions. When these theories are obtained as massless limit of Einstein plus Weyl$^2$supergravity, the appropriate counting of the enhanced gauge symmetries allow us to derive the massless spectrum which consist of a dipole ghost graviton multiplet, a ${\cal N}$-fold tripole ghost gravitino, the third state belonging to a spin 3/2 multiplet and a residual vector multiplet present for non-maximal ${\cal N}<4$ theories. These theories are not expected to have a standard gravity holographic dual in five dimensions.

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Sergio Ferrara, Alex Kehagias, Dieter Lust. 2018-06-26. Aspects of Weyl Supergravity. https://doi.org/10.1007/jhep08(2018)197

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