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Consistent truncation of d = 11 supergravity on AdS_4 x S^7

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arxiv 1112.6131 v2 pith:CH7A22KX submitted 2011-12-28 hep-th

classification hep-th
keywords supergravityconsistenttruncationeleven-dimensionalfluxesgeneralgivensolution
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the system of equations derived twenty five years ago by B. de Wit and the first author [Nucl. Phys. B281 (1987) 211] as conditions for the consistent truncation of eleven-dimensional supergravity on AdS_4 x S^7 to gauged N = 8 supergravity in four dimensions. By exploiting the E_7(7) symmetry, we determine the most general solution to this system at each point on the coset space E_7(7)/SU(8). We show that invariants of the general solution are given by the fluxes in eleven-dimensional supergravity. This allows us to both clarify the explicit non-linear ansatze for the fluxes given previously and to fill a gap in the original proof of the consistent truncation. These results are illustrated with several examples.

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Cited by 3 Pith papers

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

  1. Towards OSV in AdS

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Derives Z_{S^1×S^2} ∼ |Z_{S^3_b}|^2 for 3d N=2 SCFTs and links it holographically to supersymmetric AdS4 black hole partition functions, akin to OSV.

  2. Continuous symmetries and charge measurement of boundary operators in holography

    hep-th 2026-02 conditional novelty 6.0 of 10

    Continuous symmetry operators in holography are U-shaped hanging brane bound states (D5-KK in Type IIB, M5-KK in M-theory) whose worldvolume couplings reproduce the Gauss-law symmetry operators and measure charges of ...

  3. 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.

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