Emergent Times in Holographic Duality
Name
leutheusser-sawl-phd-physics-2022-thesis.pdf
Description
Thesis PDF
Size
1.37 MB
Format
Adobe PDF
Checksum (MD5)
c479c705a4d7ae6ace91fb000a7c1764
Author(s)
Leutheusser, Samuel Aaron Wehlau
Advisor(s)
Liu, Hong
Date Issued
May 2022
Publisher
Massachusetts Institute of Technology
Abstract
In holographic duality an eternal AdS black hole is described by two copies of the boundary CFT in the thermal eld double state. In this thesis we provide explicit constructions in the boundary theory of infalling time evolutions which can take bulk observers behind the horizon. The constructions also help to illuminate the boundary emergence of the black hole horizons, the interiors, and the associated causal structure. A key element is the emergence, in the large N limit of the boundary theory, of a type III1 von Neumann algebraic structure from the type I boundary operator algebra and the half-sided modular translation structure associated with it. A by-product is a concept called causal connectability, which is a criterion for any two quantum systems (which do not need to have a known gravity dual) to have an emergent sharp horizon structure.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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