[:is]Math Phys seminar
Fyrirlesari: Ro Jefferson, Albert Einstein Institute Potsdam
Titill: Black hole interiors and modular inclusions
Staðsetning: VR-II, V-156
Tími: Fimmtudag 22.ágúst kl. 14:00
Ágrip:
We show how the traversable wormhole induced by a double-trace deformation of the thermofield double state can be understood as a modular inclusion of the algebras of exterior operators. The effect of this deformation is the creation of a new region of spacetime deep in the bulk, corresponding to a non-trivial center between the left and right algebras. This set-up provides a precise framework for investigating how black hole interiors are encoded in the CFT. In particular, we use modular theory to demonstrate that state dependence is an inevitable feature of any attempt to represent operators behind the horizon. Building on this geometrical structure, we propose that modular inclusions may provide a more precise means of investigating the nascent relationship between entanglement and geometry in the context of the emergent spacetime paradigm.[:en]
Math Phys seminar
Speaker: Ro Jefferson, Albert Einstein Institute Potsdam
Title: Black hole interiors and modular inclusions
Room: VR-II, V-156
Time: Thursday 22nd August, 14:00hrs
Abstract:
We show how the traversable wormhole induced by a double-trace deformation of the thermofield double state can be understood as a modular inclusion of the algebras of exterior operators. The effect of this deformation is the creation of a new region of spacetime deep in the bulk, corresponding to a non-trivial center between the left and right algebras. This set-up provides a precise framework for investigating how black hole interiors are encoded in the CFT. In particular, we use modular theory to demonstrate that state dependence is an inevitable feature of any attempt to represent operators behind the horizon. Building on this geometrical structure, we propose that modular inclusions may provide a more precise means of investigating the nascent relationship between entanglement and geometry in the context of the emergent spacetime paradigm.[:]