We consider a spherically symmetric near-extremal black hole in 4D Einstein-Maxwell theory, which is a very small temperature deviation of an extremal black hole. In such low temperatures, the quantum corrections become large enough to cause a breakdown of semi-classical physics. These result in logarithm of temperature corrections in thermodynamic entropy, which was computed from an effective lower dimensional description. Presence of these corrections gives a smooth density of states near extremality. We compute these corrections from the one-loop contribution to 4D Euclidean path integral on the near-horizon region of near-extremal background. To compute the one-loop determinant, we invoke first-order perturbation theory, exploiting the enhanced symmetries of the near-horizon region of an extremal black hole. We also discuss a heat kernel approach to compute these corrections.
Zoom link: https://icts-res-in.zoom.us/j/88092766911?pwd=R3ZrVk9yeW96ZmQ4ZG9KRzVhenRKZz09
Meeting ID: 880 9276 6911
Passcode: 232322