Notes on Quasinormal Modes of charged de Sitter Blackholes from Quiver Gauge Theories
arXiv:2412.18359 · doi:10.1007/JHEP06(2025)015
Abstract
We give the connection formulae for ordinary differential equations with 5 and 6 (and in principle can be generalized to more) regular singularities from the data of instanton partition functions of quiver gauge theories. We check the consistency of these connection formulae by numerically computing the quasinormal modes (QNMs) of Reissner-Nordström de Sitter (RN-dS) blackhole. Analytic expressions are obtained for all the families of QNMs, including the photon-sphere modes, dS modes, and near-extremal modes. We also argue that a similar method can be applied to the dS-Kerr-Newman blackhole.
18+13 pages; typo corrected in v4
References in corpus (26)
- Quasinormal modes and Strong Cosmic Censorship
- Exact solution of Kerr black hole perturbations via CFT and instanton counting. Greybody factor, Quasinormal modes and Love numbers
- Irregular Liouville correlators and connection formulae for Heun functions
- The universal Teukolsky equations and black hole perturbations in higher-derivative gravity
- Perturbing the perturbed: Stability of quasinormal modes in presence of a positive cosmological constant
- CFT description of BH's and ECO's: QNMs, superradiance, echoes and tidal responses
- Holographic thermal correlators from supersymmetric instantons
- Quasinormal modes of Kerr-de Sitter black holes via the Heun function
- Black hole perturbation theory and multiple polylogarithms
- Perturbative connection formulas for Heun equations
- Quasinormal Modes of Charged Fields in Reissner-Nordstrom Backgrounds by Borel-Pade Summation of Bender-Wu Series
- Teukolsky master equation and Painlevé transcendents: numerics and extremal limit
- Exact thermal correlators of holographic s
- Quasinormal Modes of C-metric from SCFTs
- Scalar quasi-normal modes of accelerating Kerr-Newman-AdS black holes
- An alternative to the Teukolsky equation
- Quasi-normal modes for the D3-branes and Exact WKB analysis
- Exact conditions for Quasi-normal modes of extremal M5-branes and Exact WKB analysis
- Strong cosmic censorship conjecture with NUT charge and conformal coupling
- Holographic Thermal Correlators for Hyperbolic s
- Expansions for semiclassical conformal blocks
- Duality between Seiberg-Witten Theory and Black Hole Superradiance
- New Chandrasekhar transformation in Kerr spacetime
- Absorption cross section in gravity's rainbow from confluent Heun equation
- Thermodynamics, magnetic properties, and global symmetry breaking of the S-type Gubser-Rocha model
- Connection formulae in the Collision Limit I: Case Studies in Lifshitz Geometry