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Toric gravitational instantons in gauged supergravity

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arxiv 2410.19036 v2 pith:BEZ3CHFL submitted 2024-10-24 hep-th

Pietro Benetti Genolini , Jerome P. Gauntlett , Yusheng Jiao , Alice Lüscher , James Sparks This is my paper · ORCID
classification hep-th
keywords gravitationalsupergravitygaugedinstantonssolutionstoricallowsassociated
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abstract

We introduce a general class of toric gravitational instantons in $D=4$, $\mathcal{N}=2$ gauged supergravity, namely Euclidean supersymmetric solutions with $U(1)^2$ isometry. Such solutions are specified by a "supergravity labelled polytope", where the labels encode the 4-manifold topology, the choice of magnetic fluxes, and certain signs associated to the Killing spinor. Equivariant localization then allows us to write down the gravitational free energy for such a solution, assuming it exists, and study its properties. These results open the way for a systematic study of holography in this setting, where the dual large $N$ field theories are defined on the boundary 3-manifolds, which are (squashed) lens spaces $L(p,q)$ or generalizations with orbifold singularities.

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Cited by 5 Pith papers

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

  1. Airy functions from quantum M-theory

    hep-th 2026-07 conditional novelty 8.0 of 10

    Relative equivariant localization of quantum M-theory reproduces the Airy partition functions of ABJM and toric Calabi-Yau M2-brane theories, up to prefactor and non-perturbative corrections.

  2. Equivariant localization for $D=4$ gauged supergravity

    hep-th 2024-12 conditional novelty 8.0 of 10

    Supersymmetric Euclidean D=4 N=2 gauged supergravity actions and fluxes localize onto R-symmetry fixed points, proving large-N SCFT free-energy formulas and UV-IR relations.

  3. Ten-dimensional localization

    hep-th 2026-07 conditional novelty 7.0 of 10

    Equivariantly closed polyforms for type II Page fluxes and actions enable direct 10D localization of on-shell actions and flux quantization for minimally supersymmetric backgrounds.

  4. NUTs, Bolts, and Spindles

    hep-th 2024-11 conditional novelty 7.0 of 10

    New infinite families of supersymmetric spindle-bolt solutions with branched lens-space boundaries are constructed, with on-shell actions matching equivariant localization.

  5. Localizing AlAdS$_5$ black holes and the SUSY index on $S^1 \times M_3$

    hep-th 2025-11 conditional novelty 6.0 of 10

    The S^1×M_3 supersymmetric index for round, Lens, elliptically and biaxially squashed three-spheres is reproduced from D=5 equivariant localization after subtracting the Casimir energy via a gluing prescription.

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