Notes on quasinormal modes of charged de Sitter blackholes from quiver gauge theories

• Published in: The journal of high energy physics Vol. 2025; no. 6; pp. 15 - 28
• Main Authors: Liu, Pujun, Zhu, Rui-Dong
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 03.06.2025; Springer Nature B.V; SpringerOpen
• Subjects: Black Holes; Classical and Quantum Gravitation; Conformal and W Symmetry; de Sitter space; Differential equations; Elementary Particles; Gauge theory; Geometry; Gravitational waves; Instantons; Numerical analysis; Ordinary differential equations; Partitions (mathematics); Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Singularity (mathematics); String Theory; Supersymmetry and Duality; Conformal and W Symmetry; Supersymmetry and Duality; Black Holes; de Sitter space
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP06(2025)015

A bstract 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.