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arxiv: 2401.08945 · v2 · pith:UB4TPVUX · submitted 2024-01-17 · hep-th · gr-qc· hep-ph· math-ph· math.MP

Higher Derivative Supergravities in Diverse Dimensions

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classification hep-th gr-qchep-phmath-phmath.MP
keywords derivativedimensionshigherinvariantson-shellsolutionssupergravitiesapproaches
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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 2 Pith papers

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    Fixed-μ ensemble computations in 11d supergravity reproduce ABJM partition functions (squashed S³, SCI, TTI) as Airy functions via a Laplace transform whose measure is fixed by bulk zero-mode counting.

  2. Symmetries of non-maximal supergravities with higher-derivative corrections

    hep-th 2026-03 unverdicted novelty 7.0

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