Higher derivative supergravities in diverse dimensions

We survey on-shell and off-shell higher derivative supergravities in dimensions 1 <= D <= 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 onshell, solutions to the Killing spinor equations, typical supersymmetric solutions, and the role of duality symmetries in the context of R-4, (DR4)-R-4 and (DR4)-R-6 invariants are reviewed. (c) 2024 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.