Timelike entanglement and central charge for quantum BTZ black holes

TL;DR

This paper calculates the holographic timelike entanglement entropy for quantum BTZ black holes in a braneworld setup, revealing a relation with the dual CFT's central charge affected by quantum corrections.

Contribution

It provides a non-perturbative analysis of quantum backreaction effects on timelike entanglement entropy in a braneworld holographic model.

Findings

Relation between tEE and CFT central charge with quantum corrections

Non-perturbative effects of quantum backreaction on entanglement entropy

Exact solutions of massive 3d gravity in braneworld scenario

Abstract

We compute holographic timelike entanglement entropy for quantum BTZ black holes in a Karch-Randall braneworld scenario. These black holes are exact solutions of massive 3d gravity on the brane and are conjectured to be dual to thermal states in 2d defect CFTs, living at the interface of the brane and the boundary of the bulk $AdS_4$. Our analysis reveals an interesting relation between the tEE and the central charge pertaining to the dual CFT, which receives nontrivial corrections due to quantum backreaction effects on the Karch-Randall brane, which is explored non-perturbatively.