Phys.Rept. 1086, 1-95 (2024)

Higher derivative supergravities in diverse dimensions

M.Ozkan¹, Y.Pang^2,* and E.Sezgin^3,*

1 Department of Physics, Istanbul Technical University, Maslak 34469 Istanbul, Turkey.

2 Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, Tianjin 300350, China.

3 George P. & Cynthia Woods Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M University, College Station, TX 77843, USA.

* pangyi1@tju.edu.cn, sezgin@tamu.edu

Abstract

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 on-shell, solutions to the Killing spinor equations, typical supersymmetric solutions, and the role of duality symmetries in the context of R4 , D4R4 and D6R4 invariants are reviewed.