The gravity duals of modular Hamiltonians
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13130_2016_Article_4657.pdf
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Author(s)
Jafferis, Daniel L.
Suh, Sunok Josephine
Date Issued
September 2016
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Jafferis, Daniel L., and S. Josephine Suh. “The Gravity Duals of Modular Hamiltonians.” Journal of High Energy Physics 2016.9 (2016): n. pag.
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/JHEP09(2016)068
