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.
Divergences and Boundary Modes in N=8 Supergravity
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abstract
We reconsider the one loop divergence of ${\cal N}=8$ supergravity in four dimensions. We compute the finite effective potential of ${\cal N}=8$ anti-deSitter supergravity and interpret it as logarithmic running of the cosmological constant. We find that quantum inequivalence between fields that are classically dual is due to boundary modes in AdS$_4$. Some subtleties are traced to the difference between the Euler characteristic of global and thermal AdS$_4$.
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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.