Entanglement in gauge/ gravity duality
Name
951537191-MIT.pdf
Description
Full printable version
Size
4.85 MB
Format
Adobe PDF
Checksum (MD5)
8d063bb70a883eb6350e6537b322326d
Author(s)
Suh, Sunok Josephine
Advisor(s)
Hong Liu.
Date Issued
2015
Publisher
Massachusetts Institute of Technology
Abstract
In this thesis, we present studies that elucidate the relationship between entanglement in strongly coupled gauge theories and the geometry of their gravity duals. In the first, we find that in a certain class of time-dependent states which have a gravity dual in which a black hole forms, the entanglement entropy of large regions grows linearly in time, following the growth of certain time-like slices in the interior of the black hole. In the second, we find a unified prescription in the gravity dual for calculating the action of the entanglement Hamiltonian associated to an arbitrary spatial region in a given holographic state. In particular, we find that the linearized perturbation of the metric caused by the entanglement Hamiltonian propagates from the bulk entangling surface.
Description
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 2015.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 73-77).
Subjects
Physics.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
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