Alladi Ramakrishnan Hall

Warped symmetries of the Kerr Black Hole

Ankit Aggarwal

ULB, Belgium

We propose a set of diffeomorphism that act non-trivially near the horizon of the Kerr black hole. We follow the recent developments of Haco-Hawking-Perry-Strominger to quantify this phase space, with the most substantial difference being our choice of vectors fields. Our gravitational charges are organized into a Virasoro-Kac-Moody algebra with non-trivial central extensions. We interpret this algebra as arising from a warped conformal field theory. Using the data we can infer from this warped CFT description, we capture the thermodynamic properties of the Kerr black hole.

The talk is based on arXiv 1909.03137. I will try to include pedagogical discussions regarding near horizon symmetries, charges, Warped CFTs, and the Cardy formula.