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Superconformal Indices of 3d $\mathcal{N}=2$ SCFTs and Holography

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arxiv 2407.13177 v2 pith:RTPX5XG7 submitted 2024-07-18 hep-th

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

We study the superconformal index of 3d $\mathcal{N}=2$ superconformal field theories on $S^1\times_{\omega} S^2$ in the Cardy-like limit where the radius of the $S^1$ is much smaller than that of the $S^2$. We show that the first two leading terms in this Cardy-like expansion are dictated by the Bethe Ansatz formulation of the topologically twisted index of the same theory. We apply this relation to 3d $\mathcal{N}=2$ holographic superconformal field theories describing the low-energy dynamics of $N$ M2-branes and derive closed form expressions, valid to all orders in the $1/N$ expansion, for the two leading terms in the Cardy-like expansion of the superconformal index. We also discuss the implications of our results for the entropy of supersymmetric Kerr-Newman black holes in AdS$_4$ and the four-derivative corrections to 4d gauged supergravity.

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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. Cardy limit of the 3d superconformal index

    hep-th 2025-09 conditional novelty 8.0 of 10

    In the Cardy limit the 3d superconformal index obeys Z ~ beta^{-#} on the first sheet and Z ~ e^{#/beta} on the second, with gauge-enhancing saddles screened for non-chiral theories.

  2. Mixed 't Hooft Anomalies and the Witten Effect for AdS Black Holes

    hep-th 2024-12 conditional novelty 7.0 of 10

    Near-BPS dyonic AdS4 black holes with a theta angle show a Witten-effect charge shift that reduces the mass gap and the index, and at the special angle both the Bekenstein-Hawking entropy and the supersymmetric index ...

  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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