Rohan Poojary (TU Wien): Fast Scrambling due to Rotating Shockwaves in Rotating Black Holes

Dienstag, 29. März 2022 14:00

Ort: TU Wien Freihaus, Wiedner Hauptstr. 8-10, 5th floor, Sem.R. DA, gruen 05

We study the perturbation due to rotating shockwaves in BTZ geometries at late times and analyse the change in Mutual Information betweenthe two subsystems belonging to the dual CFT$_L$ and CFT$_R$. We find that the scrambling of Mutual Information is in general governed by the Lyapunov index $\lambda_L$ which is bounded by $\kappa=\frac{2\pi}{\beta(1-\mu\mathcal{L})}\geq \frac{2\pi}{\beta}$ where $\mu=\rmi/\rpl$ and $\mathcal{L}$ is the angular momentum of the shockwave. For the special case of $\mathcal{L}$=$1$ we find the Mutual Information analytically, characterized by $\lambda_L=\kappa/2$ and with the scrambling time for large black holes $t_*=\frac{\beta(1-\mu)}{\pi}\log S$.
If time permits I would also discuss consequences for the near horizon effective theory relevant to our observations.

Foto: Barbara Mair