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arXiv · 2401.08945

Higher Derivative Supergravities in Diverse Dimensions

Mehmet Ozkan·Yi Pang·Ergin Sezgin
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Abstract

We survey on-shell and off-shell higher derivative supergravities in dimensions $1\le D\le 11$. Various approaches to their construction, including the Noether procedure, (harmonic) superspace, superform method, superconformal tensor calculus, $S$-matrix and dimensional reduction, are summarized. Primarily the bosonic parts of the invariants and the supertransformations of the fermionic fields are provided. The process of going on-shell, solutions to the Killing spinor equations, typical supersymmetric solutions, and the role of duality symmetries in the context of $R^4, D^4 R^4$ and $D^6 R^4$ invariants are reviewed.

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Mehmet Ozkan, Yi Pang, Ergin Sezgin. 2024-01-17. Higher Derivative Supergravities in Diverse Dimensions. https://doi.org/10.1016/j.physrep.2024.07.002

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