The gravity duals of modular Hamiltonians
作者： Daniel L. Jafferis , S. Josephine Suh
关键词: Quantum entanglement 、 Covariant transformation 、 Dual polyhedron 、 Hamiltonian (quantum mechanics) 、 Boltzmann's entropy formula 、 Quantum mechanics 、 Modular invariance 、 Quantum field theory 、 Physics 、 Theoretical physics 、 AdS/CFT correspondence
摘要: 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 the dual for calculating action of Hamiltonian on its defining state, including metric, and also small excitations around state. Curiously, use covariant holographic entanglement entropy formula leads us conclusion that Hamiltonian, acts only causal completion region, does not commute bulk operators whose entire gauge-invariant description is space-like region.
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