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Higher Derivative Supergravities in Diverse Dimensions

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arxiv 2401.08945 v2 pith:UB4TPVUX submitted 2024-01-17 hep-th gr-qchep-phmath-phmath.MP

classification hep-thgr-qchep-phmath-phmath.MP
keywords derivativedimensionshigherinvariantson-shellsolutionssupergravitiesapproaches
verification ladder T0 review T1 audit T2 compute T3 formal

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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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Cited by 8 Pith papers

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