Speaker
Description
Abstract: The interior of an asymptotically AdS black hole provides a natural setting in which one can extend the notion of holographic RG flows beyond their conventional infrared fixed points. In this talk, I will explain how these extended “trans-IR” flows offer a natural framework for capturing gravitational dynamics behind the horizon, especially in the approach to a spacelike singularity. Close to the singularity, the geometry enters a regime governed by the BKL conjecture and characterized by a sequence of Kasner epochs and eras. I will first show how mixmaster (chaotic) dynamics can be realized inside any higher-dimensional AdS black hole. I will then introduce a monotonic thermal a-function – derived from the null energy condition – which provides a measure of the effective degrees of freedom along the entire RG flow. Using this function, I will show that the complete sequence of Kasner epochs and eras can be effectively captured, with the degrees of freedom thinning out and ultimately vanishing at the trans-IR fixed point.
