Pith. sign in

REVIEW 5 cited by

Confluent conformal blocks and the Teukolsky master equation

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 1906.10638 v2 pith:5TAJJEUE submitted 2019-06-25 hep-th gr-qc

Bruno Carneiro da Cunha , João Paulo Cavalcante This is my paper · ORCID
classification hep-thgr-qc
keywords equationconfluentconformaldescribedmodesoperatorspropertiesradial
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

Quasinormal modes of usual, four dimensional, Kerr black holes are described by certain solutions of a confluent Heun differential equation. In this work, we express these solutions in terms of the connection matrices for a Riemann-Hilbert problem, which was recently solved in terms of the Painlev\'e V transcendent. We use this formulation to generate the small-frequency expansion for the angular spheroidal harmonic eigenvalue, and derive conditions on the monodromy properties for the radial modes. Using exponentiation, we relate the accessory parameter to a semi-classical conformal description and discuss the properties of the operators involved. For the radial equation, while the operators at the horizons have Liouville momenta proportional to the entropy intake, we find that spatial infinity is described by a Whittaker operator.

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. One-loop corrections to near extremal Kerr thermodynamics from semiclassical Virasoro blocks

    hep-th 2024-12 conditional novelty 7.0 of 10

    Near-extremal Kerr black holes get a universal (s-1/2) log T_H entropy correction from long-lived modes, derived exactly from Virasoro blocks.

  2. Ergodic Hysteresis of the Kerr black hole spectrum

    gr-qc 2025-11 conditional novelty 6.0 of 10

    Near-extremal Kerr black holes with massive scalar fields exhibit a cascade of exceptional points that can adiabatically permute arbitrary quasinormal-mode overtones.

  3. One loop corrections to the thermodynamics of near-extremal Kerr-(A)dS black holes from Heun equation

    hep-th 2025-06 conditional novelty 6.0 of 10

    Cold near-extremal Kerr-de Sitter black holes carry universal log(T) entropy corrections while rotating Nariai geometries do not, as derived from Teukolsky/Heun connection coefficients.

  4. Emptiness formation probability and Painlev\'e V equation in the XY spin chain

    cond-mat.stat-mech 2019-09 conditional novelty 6.0 of 10

    The emptiness formation probability of the XY chain, in the double-scaling limit near its critical lines, is governed by a Painleve V tau function; the result is exact at the Ising point and numerically supported elsewhere.

  5. Exceptional lines in the Kerr-Newman black hole spectrum

    gr-qc 2026-07 accept novelty 5.5 of 10

    Near-extremal Kerr-Newman black holes host exceptional lines of degenerate (ℓ,m)=(1,1) scalar overtones that induce spectral permutations and link to zero-damping/damped mode branching.

Pith tools