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:
- 2307.00237 [hep-th]
Report number:
- KUNS-2971
View in:
Citations per year
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
References(54)
Figures(8)
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