期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 9, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP09(2016)068
关键词
AdS-CFT Correspondence; Field Theories in Higher Dimensions
资金
- NSF CAREER Award [PHY-1352084]
- U.S. Department of Energy [DE-SC00012567]
- Division Of Physics
- Direct For Mathematical & Physical Scien [1352084] Funding Source: National Science Foundation
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 de fining 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.
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