Journal of High Energy Physics (Oct 2023)

Photon sphere and quasinormal modes in AdS/CFT

  • Koji Hashimoto,
  • Kakeru Sugiura,
  • Katsuyuki Sugiyama,
  • Takuya Yoda

DOI
https://doi.org/10.1007/JHEP10(2023)149
Journal volume & issue
Vol. 2023, no. 10
pp. 1 – 39

Abstract

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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.

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