A One-Loop Test of the near-AdS${}_2$/near-CFT${}_1$ Correspondence

Abstract

We analyze quantum fluctuations around black hole solutions to the Jackiw-Teitelboim model. We use harmonic analysis on Euclidean AdS${}_2$ to show that the logarithmic corrections to the partition function are determined entirely by quadratic holomorphic differentials, even when conformal symmetry is broken and harmonic modes are no longer true zero modes. Our quantum-corrected partition function agrees precisely with the SYK result. We argue that our effective quantum field theory methods and results generalize to other theories of two-dimensional dilaton gravity.

arXiv comment47 pages, 2 figures

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Cited by in corpus (14)

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• Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
• Phases of $\mathcal{N}=2$ Sachdev-Ye-Kitaev models
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