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A One-Loop Test of the near-AdS$_2$/near-CFT$_1$ Correspondence
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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.
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Cited by 1 Pith paper
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The Effects of Near-AdS$_2$ Backreaction on Matter Fields
Backreaction of near-AdS2 geometry gives a temperature correction to scalar correlators that for massive fields needs metric backreaction, matches BTZ, and corrects the standard prescription.
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