Entanglement in gauge/ gravity duality
Author(s)Suh, Sunok Josephine
Massachusetts Institute of Technology. Department of Physics.
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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.
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 2015.Cataloged from PDF version of thesis.Includes bibliographical references (pages 73-77).
DepartmentMassachusetts Institute of Technology. Department of Physics.
Massachusetts Institute of Technology