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The gravity dual of supersymmetric gauge theories on a squashed three-sphere

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arxiv 1110.6400 v3 pith:D26UTHT5 submitted 2011-10-28 hep-th

Dario Martelli , Achilleas Passias , James Sparks This is my paper · ORCID
classification hep-th
keywords gaugegravitysupersymmetrictheoriesclassdualfieldinvariant
verification ladder T0 review T1 audit T2 compute T3 formal
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We present the gravity dual to a class of three-dimensional N=2 supersymmetric gauge theories on a U(1) x U(1)-invariant squashed three-sphere, with a non-trivial background gauge field. This is described by a supersymmetric solution of four-dimensional N=2 gauged supergravity with a non-trivial instanton for the graviphoton field. The particular gauge theory in turn determines the lift to a solution of eleven-dimensional supergravity. We compute the partition function for a class of Chern-Simons quiver gauge theories on both sides of the duality, in the large N limit, finding precise agreement for the functional dependence on the squashing parameter. This constitutes an exact check of the gauge/gravity correspondence in a non-conformally invariant setting.

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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. 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. Holographic Tests of the $\mu$ Ensemble

    hep-th 2026-07 conditional novelty 7.0 of 10

    Fixed-μ ensemble computations in 11d supergravity reproduce ABJM partition functions (squashed S³, SCI, TTI) as Airy functions via a Laplace transform whose measure is fixed by bulk zero-mode counting.

  3. 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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