Holographic entanglement plateaux

43 mins 58 secs,  167.87 MB,  iPod Video  480x270,  29.97 fps,  44100 Hz,  521.28 kbits/sec
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Description: Hubeny, V (University of Durham)
Thursday 19 September 2013, 09:00-09:45
 
Created: 2013-09-20 09:54
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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