期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 2, 页码 1-24出版社
SPRINGER
DOI: 10.1007/JHEP02(2015)171
关键词
Gauge-gravity correspondence; AdS-CFT Correspondence; Conformal and W Symmetry; Field Theories in Lower Dimensions
资金
- John Templeton Foundation
- United States Department of Energy under DOE grant [DE-FG02-92-ER40699]
- Belgian Federal Science Policy Office through the Interuniversity Attraction Pole [P7/37]
- FWO-Vlaanderen through project [G.0651.11]
- COST Action MP1210 The String Theory Universe
- European Science Foundation Holograv Network
- National Science Foundation [NSF PHY11-25915, PHYS-1066293]
- Kavli Institute for Theoretical Physics
- Cornell University
We consider the entanglement entropy in 2d conformal field theory in a class of excited states produced by the insertion of a heavy local operator. These include both high-energy eigenstates of the Hamiltonian and time-dependent local quenches. We compute the universal contribution from the stress tensor to the single interval Renyi entropies and entanglement entropy, and conjecture that this dominates the answer in theories with a large central charge and a sparse spectrum of low-dimension operators. The resulting entanglement entropies agree precisely with holographic calculations in three-dimensional gravity. High-energy eigenstates are dual to microstates of the BTZ black hole, so the corresponding holographic calculation is a geodesic length in the black hole geometry; agreement between these two answers demonstrates that these individual microstates of holographic CFTs effectively thermalize at the level of the single-interval entanglement entropy. For local quenches, the dual geometry is a highly boosted black hole or conical defect. On the CFT side, the rise in entanglement entropy after a quench is directly related to the monodromy of a Virasoro conformal block.
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