Timelike entanglement and central charge for quantum BTZ black holes

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 $Ad{S}_4$. 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.

Version to Appear in PLB

References in corpus (17)

• Entanglement as a Probe of Confinement
• Pseudo Entropy in dS/CFT and Time-like Entanglement Entropy
• Timelike entanglement entropy
• Central Charge for AdS_2 Quantum Gravity
• de Sitter space, extremal surfaces and "time-entanglement"
• Black holes in dS${}_3$
• On holographic time-like entanglement entropy
• Thermodynamical topology of quantum BTZ black hole
• Holographic Complexity of Quantum Black Holes
• Time-like Entanglement Entropy in AdS/BCFT
• AdS/BCFT and Island for curvature-squared gravity
• Quantum-corrected black holes and naked singularities in (2+1)-dimensions
• Quantum Kerr-de Sitter black holes in three dimensions
• Geometric Interpretation of Timelike Entanglement Entropy
• Temporal Entanglement Entropy as a probe of Renormalization Group Flow
• Perturbing a quantum black hole
• Thermodynamic bounce effect in quantum BTZ black hole