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Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity

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arxiv hep-th/0611329 v4 pith:LFMJBAV4 submitted 2006-11-29 hep-th

classification hep-th
keywords supergravitytermconditiondeterminefive-dimensionalsuperconformalsupersymmetricwedge
verification ladder T0 review T1 audit T2 compute T3 formal
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We analyze the structure of a particular higher derivative correction of five-dimensional ungauged and gauged supergravity with eight supercharges. Specifically, we determine all the purely bosonic terms which are connected by the supersymmetry transformation to the mixed gauge-gravitational Chern-Simons term, W wedge tr R wedge R. Our construction utilizes the superconformal formulation of supergravity. As an application, we determine the condition for the supersymmetric anti-de Sitter vacuum with this term. We check that it gives precisely the same condition as the a-maximization in four-dimensional superconformal field theory on the boundary, as predicted by the AdS/CFT correspondence.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 168 citations worldwide. Full citation record

  1. Co-Scaling and Alignment of Electric and Magnetic Towers

    hep-th 2025-05 conditional novelty 7.0 of 10

    Electric and magnetic BPS towers in 5d supergravity are conjectured to co-scale and align, and a new S-map is conjectured to characterize the magnetic infinity cone of a Calabi-Yau threefold.

  2. BMPV black hole at first order in $\alpha'$

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Derives analytic α' corrections to the three-charge BMPV black hole geometry and computes its corrected entropy via generalized Wald formula, matching supersymmetric index results.

  3. Attractor saddle for 5D black hole index

    hep-th 2024-11 unverdicted novelty 3.0 of 10

    The non-extremal saddle for the 5D BMPV black hole index is expressed in canonical harmonic-function form on a flat base, establishing supersymmetry and the new attractor property.

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