Holographic entanglement plateaux
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Description: |
Hubeny, V (University of Durham)
Thursday 19 September 2013, 09:00-09:45 |
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Created: | 2013-09-20 09:54 |
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Collection: | Mathematics and Physics of the Holographic Principle |
Publisher: | Isaac Newton Institute |
Copyright: | Hubeny, V |
Language: | eng (English) |
Abstract: | 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. |
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