Pith. sign in

REVIEW 5 cited by

Consistency of the $AdS_7\times S_4$ reduction and the origin of self-duality in odd dimensions

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv hep-th/9911238 v3 pith:3F6NPOYQ submitted 1999-11-29 hep-th

Horatiu Nastase , Diana Vaman , Peter van Niewenhuizen (YITP Stony Brook) This is my paper · ORCID
classification hep-th
keywords ansatzdimensionsfieldsdeltalawsconsistencyderivefirst
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We discuss the full nonlinear Kaluza-Klein (KK) reduction of the original formulation of d=11 supergravity on $AdS_7\times S_4$ to gauged maximal ({\cal N}=4) supergravity in 7 dimensions. We derive the full nonlinear embedding of the d=7 fields in the d=11 fields (``the ansatz'') and check the consistency of the ansatz by deriving the d=7 supersymmetry laws from the d=11 transformation laws in the various sectors. The ansatz itself is nonpolynomial but the final d=7 results are polynomial. The correct d=7 scalar potential is obtained. For most of our results the explicit form of the matrix U connecting the d=7 gravitino to the Killing spinor is not needed, but we derive the equation which U has to satisfy and present a solution. Requiring that the expression $\delta F=d\delta A$ in d=11 can be written as $\delta d(fields in d=7)$, we find the ansatz for the 4-form F. It satisfies the Bianchi identities. The corresponding ansatz for A modifies the geometrical proposal by Freed et al. by including d=7 scalar fields. A first order formulation for the three index photon $A_{\Lambda\Pi\Sigma}$ in d=11 is needed to obtain the d=7 supersymmetry laws and the action for the nonabelian selfdual antisymmetric tensor field $S_{\alpha\beta\gamma,A}$. Therefore selfduality in odd dimensions originates from a first order formalism in higher dimensions.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Maximal trombone supergravity from wrapped M5-branes

    hep-th 2026-01 unverdicted novelty 7.0 of 10

    Certain maximal 4D supergravities with trombone gaugings arise as consistent truncations of 11D supergravity from M5-branes wrapped on supersymmetric three-cycles.

  2. Microstates of AdS$_5$ black holes with hypermultiplets

    hep-th 2025-02 conditional novelty 7.0 of 10

    A new family of rotating AdS5 black holes with nonzero hypermultiplet scalars has horizon entropy matching the superconformal index of the dual SCFTs, at first order in a perturbative expansion around z=1.

  3. Probing decoupled Throats of AdS$_{D}$ Black Holes in $D=6,7$

    hep-th 2025-11 unverdicted novelty 5.0 of 10

    Near-EVH limits of AdS6 and AdS7 black holes produce conformally related lower-dimensional black hole solutions in EMMD gravity, opening a potential path to microscopic entropy counting for non-AdS black holes via hig...

  4. Holographic solutions from 5D $SO(2)\times ISO(3)$ $N=4$ gauged supergravity

    hep-th 2025-10 conditional novelty 5.0 of 10

    New supersymmetric holographic RG flows, Janus interfaces, black strings and black holes are built in 5D SO(2)×ISO(3) N=4 gauged supergravity and uplifted to M-theory.

  5. Kaluza-Klein Supergravity 2025

    hep-th 2025-02 unverdicted novelty 2.0 of 10

    This invited review recounts the S7 compactifications of eleven-dimensional supergravity and summarises recent spectral results, including a speculative singleton Higgs mechanism.

Pith tools