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Résumé |
The Ryu-Takayanagi holographic entanglement entropy formula is a cornerstone of
our modern understanding of holography and quantum gravity. It predicts that
static holographic states have many peculiar properties, expressed as inequalities
obeyed by entanglement entropies. These inequalities remain deeply mysterious,
both on conceptual and technical levels. Can we decode what they’re telling us
about the entanglement structure of semiclassical states in quantum gravity? For
that, we need to know if the inequalities are obeyed in time-dependent states, in
other words by the Hubeny-Rangamani-Takayanagi formula. This is itself a
fascinating problem in general relativity. We will review the state of the art on
these questions, including the attempts to resolve them and the evidence that has
been gathered so far. |
