Rotating End of the World

TL;DR

This paper investigates the thermodynamics and interior structures of rotating end of the world branes in BTZ black holes, connecting boundary conformal field theory, JT gravity, and SYK models.

Contribution

It introduces a thermodynamic framework for EoW branes in rotating BTZ black holes using black hole chemistry and holographic dualities.

Findings

Derived the first law of thermodynamics for boundary CFT with EoW branes.

Verified shadow entropy equals boundary entropy via HRT surfaces.

Identified possible interior configurations and a horizon transition between them.

Abstract

We study the thermodynamics and interior structures of dynamical end of the world (EoW) branes in the rotating BTZ black hole. By mapping the induced metric of the branes to an effective Jackiw-Teitelboim (JT) system, we derive the first law of thermodynamics for the boundary conformal field theory (BCFT), incorporating boundary degrees of freedom. To construct this thermodynamics, we adopt two frameworks of black hole chemistry and the duality between the JT black hole and the Sachdev-Ye-Kitaev (SYK) model. In addition, we verify that the shadow entropy is equivalent to the boundary entropy via Hubeny-Ryu-Takayanagi (HRT) surfaces. Furthermore, we explore the possible interior configurations of the EoW brane inside the horizon. Two representative configurations, namely single and double-joint EoW branes, are considered. These disparate configurations share the same exterior brane configuration outside the horizon. By comparing their energies, we show that a transition could occur within the horizon.