Strong subadditivity and the covariant holographic entanglement entropy formula
| Autor: | Matthew Headrick, Robert Callan, Jianyang He |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
Physics
High Energy Physics - Theory Nuclear and High Energy Physics Spacetime 010308 nuclear & particles physics Holography FOS: Physical sciences Quantum entanglement 01 natural sciences law.invention General Relativity and Quantum Cosmology High Energy Physics - Theory (hep-th) law 0103 physical sciences Subadditivity Energy condition Covariant transformation 010306 general physics Boltzmann's entropy formula Entropy (arrow of time) Mathematical physics |
| Popis: | 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. 38 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|