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Status |
Confirmed |
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Seminar Series |
SEM-CPHT |
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Subjects |
hep-th |
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Date |
Tuesday 3 December 2019 |
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Time |
14:00 |
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Institute |
CPHT |
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Seminar Room |
Salle Louis Michel, CPHT, Ecole Polytechnique |
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Speaker's Last Name |
Jefferson |
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Speaker's First Name |
Ro |
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Speaker's Email Address |
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Speaker's Institution |
AEI Potsdam |
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Title |
Black Hole Interiors, State Dependence, and Modular Inclusions |
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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. |
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