New horizon symmetries, hydrodynamics, and quantum chaos

TL;DR

This paper extends the understanding of horizon symmetries in gravitational systems, linking them to boundary gauge symmetries and exploring their implications for quantum chaos and holography.

Contribution

It introduces a generalized framework for horizon symmetries, including horizon-shifting diffeomorphisms, and connects these to emergent gauge symmetries in the boundary theory.

Findings

Identifies a new class of horizon symmetries extending shift symmetry.

Links horizon symmetries to out-of-time-ordered correlators and pole-skipping.

Shows boundary interpretation of horizon symmetries as low-energy gauge symmetries.

Abstract

We generalize the formulation of horizon symmetries presented in previous literature to include diffeomorphisms that can shift the location of the horizon. In the context of the AdS/CFT duality, we show that horizon symmetries can be interpreted on the boundary as emergent low-energy gauge symmetries. In particular, we identify a new class of horizon symmetries that extend the so-called shift symmetry, which was previously postulated for effective field theories of maximally chaotic systems. Additionally, we comment on the connections of horizon symmetries with bulk calculations of out-of-time-ordered correlation functions and the phenomenon of pole-skipping.