Photon sphere and quasinormal modes in AdS/CFT
Abstract
Photon spheres are the characteristic of general black holes, thus are a suitable touchstone for the emergence of gravitational spacetime in the AdS/CFT correspondence. We provide a spectral analysis of an AdS Schwarzschild black hole near its photon sphere. We find that quasinormal modes near the photon sphere reflect the AdS boundary, resulting in a peculiar spectral pattern. Our large angular momentum analysis owes to an analogue to solvable Schr\"odinger equations such as an inverted harmonic oscillator and the P\"oschl-Teller model, with a Dirichlet boundary condition. Through the AdS/CFT dictionary, it predicts the existence of a peculiar subsector in the large angular momentum spectrum of thermal holographic CFTs on a sphere.
Cite
@article{arxiv.2307.00237,
title = {Photon sphere and quasinormal modes in AdS/CFT},
author = {Koji Hashimoto and Kakeru Sugiura and Katsuyuki Sugiyama and Takuya Yoda},
journal= {arXiv preprint arXiv:2307.00237},
year = {2023}
}
Comments
20 + 19 pages, 9 figures