The bulk one-loop partition function of JT gravity reproduces the SYK result -3/2 log beta, with the logarithmic contribution coming entirely from quadratic holomorphic differentials.
Logarithmic corrections to black hole entropy from Kerr/CFT
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abstract
It has been shown by A. Sen that logarithmic corrections to the black hole area-entropy law are entirely determined macroscopically from the massless particle spectrum. They therefore serve as powerful consistency checks on any proposed enumeration of quantum black hole microstates. Sen's results include a macroscopic computation of the logarithmic corrections for a five-dimensional near extremal Kerr-Newman black hole. Here we compute these corrections microscopically using a stringy embedding of the Kerr/CFT correspondence and find perfect agreement.
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A One-Loop Test of the near-AdS$_2$/near-CFT$_1$ Correspondence
The bulk one-loop partition function of JT gravity reproduces the SYK result -3/2 log beta, with the logarithmic contribution coming entirely from quadratic holomorphic differentials.