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Expansions for semiclassical conformal blocks

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arxiv 2211.03551 v2 pith:RJRH6CFE submitted 2022-11-07 hep-th gr-qc

classification hep-thgr-qc
keywords equationsexpansionfrequencyobtainedblocksconformalexpansionslarge
verification ladder T0 review T1 audit T2 compute T3 formal
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We propose a relation the expansions of regular and irregular semiclassical conformal blocks at different branch points making use of the connection between the accessory parameters of the BPZ decoupling equations to the logarithm derivative of isomonodromic tau functions. We give support for these relations by considering two eigenvalue problems for the confluent Heun equations obtained from the linearized perturbation theory of black holes. We first derive the large frequency expansion of the spheroidal equations, and then compare numerically the excited quasi-normal mode spectrum for the Schwarzschild case obtained from the large frequency expansion to the one obtained from the low frequency expansion and with the literature, indicating that the relations hold generically in the complex modulus plane.

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Cited by 4 Pith papers

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

  1. Analytic approaches to perturbations of strongly coupled Yang-Mills plasma

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    Seiberg-Witten instanton expansions combined with exact WKB period integrals allow analytic computation and continuation of quasinormal modes from large q to q=0.

  2. Analytic approaches to perturbations of strongly coupled Yang-Mills plasma

    hep-th 2026-06 conditional novelty 7.0 of 10

    Scalar-channel quasinormal modes of the planar AdS5 black brane are captured across all wave numbers by exact WKB quantisation, transseries resummation, and Seiberg–Witten analytic continuation, with resummed large-q ...

  3. 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.

  4. 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.

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