Pith. sign in

REVIEW 5 cited by

Asymptotic growth of the 4d $\mathcal N=4$ index and partially deconfined phases

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1912.04169 v4 pith:CURSZTFF submitted 2019-12-09 hep-th

Arash Arabi Ardehali , Junho Hong , James T. Liu This is my paper · ORCID
classification hep-th
keywords indexcardy-likedeconfinedmathcalsolutionsansatzasymptoticasymptotics
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We study the Cardy-like asymptotics of the 4d $\mathcal N=4$ index and demonstrate the existence of partially deconfined phases where the asymptotic growth of the index is not as rapid as in the fully deconfined case. We then take the large-$N$ limit after the Cardy-like limit and make a conjecture for the leading asymptotics of the index. While the Cardy-like behavior is derived using the integral representation of the index, we demonstrate how the same results can be obtained using the Bethe ansatz type approach as well. In doing so, we discover new non-standard solutions to the elliptic Bethe ansatz equations including continuous families of solutions for $SU(N)$ theory with $N\ge3$. We argue that the existence of both standard and continuous non-standard solutions has a natural interpretation in terms of vacua of $\mathcal N=1^*$ theory on $\mathbb R^3\times S^1$.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 5 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. Equal-charge projection of the $\mathcal{N}=4$ index: exact large-$N$ formula and finite-rank $U(3)$ coefficients

    hep-th 2026-07 accept novelty 7.0 of 10

    Equal-charge projection of the N=4 index admits an exact large-N factorization into a pentagonal prefactor times the cube of the partition function, and finite-rank U(3) coefficients populate the resulting zero interv...

  3. 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.

  4. 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.

  5. Supersymmetric zeta functions and determinants

    hep-th 2025-11 conditional novelty 6.0 of 10

    Residues and special values of supersymmetric zeta functions (built from single-particle indices) are conjectured to reproduce anomaly coefficients, Casimir energies, and central charges across 2d/4d/6d.

Pith tools