Information transfer with a twist

TL;DR

This paper explores holographic duals for compactified CFTs with twists, modeling information transfer and entanglement entropy through wedge holography, revealing phase structures similar to braneworld models.

Contribution

It introduces a novel wedge holography framework for twisted compactifications, linking entanglement entropy with internal space splits and modeling information transfer in black hole setups.

Findings

Page curves with phase transitions mirroring braneworld models

Entanglement entropy associated with internal space splits

Transition from geometric to non-geometric entropies for S^2

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.