Real-time gravitational replicas: Low dimensional examples
arXiv:2105.07002
Abstract
We continue the study of real-time replica wormholes initiated in arXiv:2012.00828. Previously, we had discussed the general principles and had outlined a variational principle for obtaining stationary points of the real-time gravitational path integral. In the current work we present several explicit examples in low-dimensional gravitational theories where the dynamics is amenable to analytic computation. We demonstrate the computation of Rényi entropies in the cases of JT gravity and for holographic two-dimensional CFTs (using the dual gravitational dynamics). In particular, we explain how to obtain the large central charge result for subregions comprising of disjoint intervals directly from the real-time path integral.
arXiv comment53 pages, 11 figures. v2: clarifications for JT example, fixed typos
References in corpus (18)
- Entanglement Entropy and Quantum Field Theory
- Comments on the Sachdev-Ye-Kitaev model
- Geometric and Renormalized Entropy in Conformal Field Theory
- Towards a derivation of holographic entanglement entropy
- Generalized gravitational entropy
- Replica Wormholes and the Entropy of Hawking Radiation
- Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
- The entropy of Hawking radiation
- Quantum Quenches in Extended Systems
- Entanglement Renyi entropies in holographic theories
- The Gravity Dual of Renyi Entropy
- Entanglement entropy of two disjoint intervals in conformal field theory II
- Entanglement Entropy at Large Central Charge
- Quantum effective action from the AdS/CFT correspondence
- Holographic Calculations of Renyi Entropy
- Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1
- Entanglement entropy in Jackiw-Teitelboim Gravity
- Holographic Entanglement Entropy on Generic Time Slices
Cited by in corpus (6)
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- Replica Wormholes from Liouville Theory
- The entanglement entropy of typical pure states and replica wormholes
- Product of Random States and Spatial (Half-)Wormholes