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Large $N$ Partition Functions of 3d Holographic SCFTs

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arxiv 2304.01734 v3 pith:4C5GA6BU submitted 2023-04-04 hep-th

Nikolay Bobev , Junho Hong , Valentin Reys This is my paper · ORCID
classification hep-th
keywords holographicasymptoticallyindexpartitiontopologicallytwistedarisingaround
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We study the $S^1\times\Sigma_{\mathfrak g}$ topologically twisted index and the squashed sphere partition function of various 3d $\mathcal N\geq2$ holographic superconformal field theories arising from M2-branes. Employing numerical techniques in combination with well-motivated conjectures we provide compact closed-form expressions valid to all orders in the perturbative $1/N$ expansion for these observables. We also discuss the holographic implications of our results for the topologically twisted index for the dual M-theory Euclidean path integral around asymptotically AdS$_4$ solutions of 11d supergravity. In Lorentzian signature this leads to a prediction for the corrections to the Bekenstein-Hawking entropy of a class of static asymptotically AdS$_4$ BPS black holes.

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Cited by 4 Pith papers

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

  1. Constants in Sequences of M2-brane Partition Functions

    hep-th 2026-08 conditional novelty 7.0 of 10

    The N-independent constants of the ABJM and ADHM Bethe potentials and of the ABJM twisted index are expressed as finite combinations of the constant map function A.

  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. 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. Perturbatively exact supersymmetric partition functions of ABJM theory on Seifert manifolds and holography

    hep-th 2024-11 conditional novelty 6.0 of 10

    A perturbatively exact ABJM partition function on Seifert manifolds is matched to Euclidean AdS-Taub-Bolt supergravity, including N^{1/2} and log N corrections.

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