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Expanding on the Cardy-like limit of the superconformal index of 4d $\mathcal{N}=1$ ABCD SCFTs

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arxiv 2103.15853 v3 pith:K4MHZDX4 submitted 2021-03-29 hep-th

Antonio Amariti , Marco Fazzi , Alessia Segati This is my paper · ORCID
classification hep-th
keywords indexorderscftsabcdcardy-likeformulagenericlimit
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study the Cardy-like limit of the superconformal index of generic $\mathcal{N}=1$ SCFTs with ABCD gauge algebra, providing strong evidence for a universal formula that captures the behavior of the index at finite order in the rank and in the fugacities associated to angular momenta. The formula extends previous results valid at lowest order, and generalizes them to generic SCFTs. We corroborate the validity of our proposal by studying several examples, beyond the well-understood toric class. We compute the index also for models without a weakly-coupled gravity dual, whose gravitational anomaly is not of order one.

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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. Microstates of AdS$_5$ black holes with hypermultiplets

    hep-th 2025-02 conditional novelty 7.0 of 10

    A new family of rotating AdS5 black holes with nonzero hypermultiplet scalars has horizon entropy matching the superconformal index of the dual SCFTs, at first order in a perturbative expansion around z=1.

  2. Gravitational index, black hole saddle degeneracy, and one-form symmetry

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    The |G|-fold degeneracy of supersymmetric AdS5 black hole index saddles is fixed by the flux-quantized BF coupling of the bulk one-form symmetry and persists unmodified in the decompactified black-brane limit.

  3. The Superconformal Index and Black Hole Instabilities

    hep-th 2025-02 reject novelty 5.0 of 10

    The two-angular-momentum superconformal index of N=4 SYM has degeneracy tails beyond the entropy of the single AdS5 black hole, interpreted as grey galaxy signatures.

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