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Holographic entanglement plateaux

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Mathematics and Physics of the Holographic Principle

Co-authors: Henry Maxfield (Durham), Mukund Rangamani (Durham), Erik Tonni (SISSA)

We discuss holographic entanglement entropy in Lorentzian bulk geometries, contrasting the Ryu-Takayanagi minimal surface prescription with the Hubeny-Rangamani-Takayanagi extremal surface prescription. The former guarantees that entanglement entropy is continuous (though not necessarily differentiable) function of region size. We discuss conditions leading to saturating the Araki-Lieb inequality giving rise to an ‘entanglement plateau’ and conclude with open questions related to the homology constraint.

This talk is part of the Isaac Newton Institute Seminar Series series.

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