期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 1, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP01(2014)084
关键词
Gauge-gravity correspondence; Black Holes in String Theory; AdS-CFT Correspondence
资金
- CONACyT [CB-2008-01-104649]
- National Science Foundation [PHY-0969020]
- Texas Cosmology Center
- Simons postdoctoral fellowship
- Simons Foundation
- University of Texas
- Direct For Mathematical & Physical Scien
- Division Of Physics [1316033] Funding Source: National Science Foundation
- Division Of Physics
- Direct For Mathematical & Physical Scien [0969020] Funding Source: National Science Foundation
Using the Hubeny-Rangamani-Takayanagi (HRT) conjectured formula for entanglement entropy in the context of the AdS/CFT correspondence with time-dependent backgrounds, we investigate the relation between the bulk null energy condition (NEC) of the stress-energy tensor with the strong sub-additivity (SSA) property of entanglement entropy in the boundary theory. In a background that interpolates between an AdS to an AdS-Reissner-Nordstrom-type geometry, we find that generically there always exists a critical surface beyond which the violation of NEC would naively occur. However, the extremal area surfaces that determine the entanglement entropy for the boundary theory, can penetrate into this forbidden region only for certain choices for the mass and the charge functions in the background. This penetration is then perceived as the violation of SSA in the boundary theory. We also find that this happens only when the critical surface lies above the apparent horizon, but not otherwise. We conjecture that SSA, which is thus non-trivially related to NEC, also characterizes the entire time-evolution process along which the dual field theory may thermalize.
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