Photon sphere and quasinormal modes in AdS/CFT

• DOI: 10.1007/jhep10(2023)149
• Publication Date: 2023-10-25T08:02:46Z
• Authors: Koji Hashimoto; Kakeru Sugiura; Katsuyuki Sugiyama; Takuya Yoda
• Keywords: High Energy Physics - Theory; Black Holes; High Energy Physics - Theory (hep-th); Nuclear and particle physics. Atomic energy. Radioactivity; 0103 physical sciences; FOS: Physical sciences; QC770-798; AdS-CFT Correspondence; 01 natural sciences; Gauge-Gravity Correspondence

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 Schrödinger equations such as an inverted harmonic oscillator and the Pöschl-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.