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AdS$_4$ solutions of massive IIA from dyonic ISO(7) supergravity

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arxiv 1509.07117 v3 pith:K3UD3RGS submitted 2015-09-23 hep-th gr-qc

classification hep-thgr-qc
keywords solutionssupergravitymassivesolutionsymmetrydyonicformulaeinvariant
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abstract

Explicit formulae are given for the consistent truncation of massive type IIA supergravity on the six-sphere to the SU(3)--invariant sector of $D=4$ ${\cal N}=8$ supergravity with dyonic ISO(7) gauging. These formulae are then used to construct AdS$_4$ solutions of massive type IIA via uplift on $S^6$ of the critical points of the $D=4$ supergravity with at least SU(3) symmetry. We find a new ${\cal N}=1$ solution with SU(3) symmetry, a new non-supersymmetric solution with SO(6) symmetry, and recover previously known solutions. We quantise the fluxes, calculate the gravitational free energies of the solutions and discuss the stability of the non-supersymmetric ones. Among these, a (previously known) G$_2$--invariant solution is found to be stable.

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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. Minimal $D=4$ truncations of type IIA

    hep-th 2019-08 conditional novelty 7.0 of 10

    Explicit consistent truncations from massive type IIA on S^6 to minimal D=4 N=2 and N=3 gauged supergravities are constructed and verified.

  2. Non-conformal branes wrapped on a disk

    hep-th 2025-07 conditional novelty 6.0 of 10

    Disk solutions from non-conformal Dp/NS5-brane spindles are classified by charge sectors; compact disks mostly show monopoles and smeared branes, while non-compact disks mostly do not.

  3. The Topologically Twisted Index in the 't Hooft Limit and the Dual AdS$_4$ Black Hole Entropy

    hep-th 2019-08 conditional novelty 6.0 of 10

    The leading term of the ABJM topologically twisted index in the 't Hooft limit equals the Bekenstein-Hawking entropy of the dual AdS4 black holes, with sub-leading terms including a predicted -(7/6) log lambda contribution.

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