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  • Title: Logarithmic Corrections to Kerr Thermodynamics.
    Author: Kapec D, Sheta A, Strominger A, Toldo C.
    Journal: Phys Rev Lett; 2024 Jul 12; 133(2):021601. PubMed ID: 39073938.
    Abstract:
    Recent work has shown that loop corrections from massless particles generate 3/2logT_{Hawking} corrections to black hole entropy which dominate the thermodynamics of cold near-extreme charged black holes. Here we adapt this analysis to near-extreme Kerr black holes. Like AdS_{2}×S^{2}, the near-horizon extreme Kerr (NHEK) metric has a family of normalizable zero modes corresponding to reparametrizations of boundary time. The path integral over these zero modes leads to an infrared divergence in the one-loop approximation to the Euclidean NHEK partition function. We regulate this divergence by retaining the leading finite temperature correction in the NHEK scaling limit. This "not-NHEK" geometry lifts the eigenvalues of the zero modes, rendering the path integral infrared finite. The quantum-corrected near-extremal entropy exhibits 3/2logT_{Hawking} behavior characteristic of the Schwarzian model and predicts a lifting of the ground state degeneracy for the extremal Kerr black hole.
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