Strong subadditivity and the covariant holographic entanglement entropy formula

Details Strong subadditivity and the covariant holographic entanglement entropy formula Strong subadditivity and the covariant holographic entanglement entropy formula

2012-04-11

arxiv.org/abs/1204.2309v1

Physics

High Energy Physics

High Energy Physics - Theory

38 pages

Scientific paper

Headrick and Takayanagi showed that the Ryu-Takayanagi holographic entanglement entropy formula generally obeys the strong subadditivity (SSA) inequality, a fundamental property of entropy. However, the Ryu-Takayanagi formula only applies when the bulk spacetime is static. It is not known whether the covariant generalization proposed by Hubeny, Rangamani, and Takayanagi (HRT) also obeys SSA. We investigate this question in three-dimensional AdS-Vaidya spacetimes, finding that SSA is obeyed as long as the bulk spacetime satisfies the null energy condition. This provides strong support for the validity of the HRT formula.

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