Higher Derivative Supergravities in Diverse Dimensions

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.

156 pages, discussions and references added, typos fixed. Version to appear in Physics Reports

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Cited by in corpus (9)

• Torus reduction of maximal conformal supergravity
• Off-shell invariants of linearized $4D,\mathcal{N}=2$ supergravity in the harmonic approach
• Higher-derivative Heterotic Kerr-Sen Black Holes
• Black hole thermodynamics at 4 derivatives, natural variables and BPS limits
• Consistent Four-derivative Heterotic Truncations and the Kerr-Sen Solution
• Six-dimensional $\mathcal{N}=(2,0)$ Conformal Superspace
• Symmetries of non-maximal supergravities with higher-derivative corrections
• On five-dimensional curvature squared supergravity and holography
• Holographic origin of $a$-maximization and higher-derivative AdS${}_5$/CFT${}_4$