The gravity duals of modular Hamiltonians
Author(s)Jafferis, Daniel L.; Suh, Sunok Josephine
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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.
DepartmentMassachusetts Institute of Technology. Center for Theoretical Physics
Journal of High Energy Physics
Springer Berlin Heidelberg
Jafferis, Daniel L., and S. Josephine Suh. “The Gravity Duals of Modular Hamiltonians.” Journal of High Energy Physics 2016.9 (2016): n. pag.
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