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Mass Deformations of the ABJM Theory: The Holographic Free Energy

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arxiv 1812.01026 v1 pith:V23JHCOA submitted 2018-12-03 hep-th

classification hep-th
keywords energyfreeabjmbackgroundsfindholographicsupergravitysupersymmetric
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We find a class of new supersymmetric Euclidean solutions in four-dimensional maximal gauged supergravity. The holographic dual description of these backgrounds is given by a mass-deformation of the ABJM theory with general values for the R-charges. We calculate the $S^3$ free energy for the supergravity backgrounds and find agreement with the supersymmetric localization calculation of the free energy in the large $N$ limit.

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Forward citations

Cited by 4 Pith papers

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

  1. 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.

  2. 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.

  3. An Airy Tale at Large $N$

    hep-th 2025-02 conditional novelty 6.0 of 10

    The paper presents numerical and analytic evidence that the large-N sphere partition function of five classes of M2-brane SCFTs, with squashing and real masses, takes the form of an Airy function to all orders in 1/N.

  4. Three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories and partition functions on Seifert manifolds: A review

    hep-th 2019-08 conditional

    A review of 3D N=2 supersymmetric localization showing that partition functions on Seifert manifolds reduce to sums over Bethe vacua.

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