Strong subadditivity and the covariant holographic entanglement entropy formula

By Robert Locke Callan, Jianyang He, M. Headrick. 2012

154 citations recorded by the source corpus.

A bstractHeadrick 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.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/9d2204f4fb8906b69aae84a3c240074826370b99

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

  1. T. Takayanagi
  2. Aron C. Wall
  3. R. Myers
  4. V. Hubeny
  5. M. Rangamani
  6. D. Harlow
  7. T. Nishioka
  8. Xi Dong

In Nuclear and High Energy Physics

  1. Aron C. Wall
  2. T. Takayanagi
  3. R. Myers
  4. D. Harlow
  5. T. Nishioka
  6. V. Hubeny
  7. T. Faulkner
  8. S. Raju

In Statistical and Nonlinear Physics

  1. Aron C. Wall
  2. T. Takayanagi
  3. T. Nishioka
  4. D. Harlow
  5. R. Myers
  6. T. Faulkner
  7. S. Raju
  8. Ahmed Almheiri

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