Exact conditions for Quasi-normal modes of extremal M5-branes and Exact WKB analysis

Abstract

We study the quasi-normal modes (QNMs) of a massless scalar perturbation to the extremal M5-branes metric by using the exact WKB analysis. The exact WKB analysis provides two exact QNMs conditions depending on the argument of the complex frequency of the perturbation. The exact conditions show that the discontinuity of the perturbative part of the QNMs leads the non-perturbative part of themselves. We also find a new example of the Seiberg-Witten/gravity correspondence, which helps us to compute the QNMs from our conditions.

25 pages, 8 figures

References in corpus (3)

• Exact solution of Kerr black hole perturbations via CFT${}_2$ and instanton counting. Greybody factor, Quasinormal modes and Love numbers
• QNMs of branes, BHs and fuzzballs from Quantum SW geometries
• Quasi-normal modes for the D3-branes and Exact WKB analysis

Cited by in corpus (11)

• Black hole perturbation theory and multiple polylogarithms
• Quasinormal Modes of C-metric from SCFTs
• Resumming Post-Minkowskian and Post-Newtonian gravitational waveform expansions
• Exact WKB Analysis and TBA Equations for the Stark Effect
• Exact WKB in all sectors I: Potentials with degenerate saddles
• Nonperturbative Formulation of Resonances in Quantum Mechanics Based on Exact WKB Method
• Notes on Quasinormal Modes of charged de Sitter Blackholes from Quiver Gauge Theories
• Exact-WKB Analysis of Two-level Floquet Systems
• Connection formulae in the Collision Limit I: Case Studies in Lifshitz Geometry
• Exact WKB in all sectors II: Potentials with non-degenerate saddles
• Analytic Computation of Dilaton Black Hole Quasinormal Modes via Seiberg-Witten Theory