1. Photon sphere and quasinormal modes in AdS/CFT.
- Author
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Hashimoto, Koji, Sugiura, Kakeru, Sugiyama, Katsuyuki, and Yoda, Takuya
- Subjects
SCHWARZSCHILD black holes ,CONFORMAL field theory ,PHOTONS ,HARMONIC oscillators ,ANGULAR momentum (Mechanics) - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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