Information transfer with a twist

Abstract

Holographic duals for CFTs compactified on a Riemann surface $\Sigma$ with a twist are cast in the language of wedge holography. $\Sigma$ starts as part of the field theory geometry in the UV and becomes part of the internal space in the IR. This allows to associate entanglement entropies with splits of the internal space in the IR geometry. Decomposing the internal space in the IR and geometrizing the corresponding subsystems separately leads to two interacting gravitational systems, similar to the intermediate holographic description in braneworld models. For $\Sigma =T^2$ the setups are used to model information transfer from a black hole to a gravitating bath. This leads to Page curves with a phase structure which precisely mirrors that in braneworld models. The transition from geometric to non-geometric entropies is also discussed for $\Sigma =S^2$ as a model for more general internal spaces in AdS/CFT.

25 pages, 10 figures; v2: additional references

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• BCFT in a Black Hole Background: An Analytical Holographic Model
• Entanglement Islands in Generalized Two-dimensional Dilaton Black Holes
• Defect extremal surfaces for entanglement negativity
• AdS/BCFT from Conformal Bootstrap: Construction of Gravity with Branes and Particles
• Reflected Entropy and Entanglement Negativity for Holographic Moving Mirrors
• Entanglement and Topology in RG Flows Across Dimensions: Caps, Bridges and Corners
• Graviton Mass and Entanglement Islands in Low Spacetime Dimensions