Photon sphere and quasinormal modes in AdS/CFT

Jul 1, 2023
39 pages
Published in:
  • JHEP 10 (2023) 149
  • Published: Oct 24, 2023
e-Print:
Report number:
  • KUNS-2971

Citations per year

202320242025541
Abstract: (Springer)
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.
Note:
  • 20 + 19 pages, 9 figures
  • AdS-CFT Correspondence
  • Black Holes
  • Gauge-Gravity Correspondence
  • field theory: conformal
  • photon: sphere
  • gravitation: emergence
  • black hole: Schwarzschild
  • angular momentum: momentum spectrum
  • oscillator: harmonic
  • AdS/CFT correspondence