The gravity duals of modular Hamiltonians
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Publication:1639191
DOI10.1007/JHEP09(2016)068zbMATH Open1390.83115arXiv1412.8465OpenAlexW1564938723MaRDI QIDQ1639191
Author name not available (Why is that?)
Publication date: 12 June 2018
Published in: (Search for Journal in Brave)
Abstract: In this work, we investigate modular Hamiltonians defined with respect to arbitrary spatial regions in quantum field theory states which have semi-classical gravity duals. We find prescriptions in the gravity dual for calculating the action of the modular Hamiltonian on its defining state, including its dual metric, and also on small excitations around the state. Curiously, use of the covariant holographic entanglement entropy formula leads us to the conclusion that the modular Hamiltonian, which in the quantum field theory acts only in the causal completion of the region, does not commute with bulk operators whose entire gauge-invariant description is space-like to the causal completion of the region.
Full work available at URL: https://arxiv.org/abs/1412.8465
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