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2020

Superbalance of Holographic Entropy Inequalities

He, Temple, Hubeny, Veronika E., Rangamani, Mukund

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The domain of allowed von Neumann entropies of a holographic field theory carves out a polyhedral cone -- the holographic entropy cone -- in entropy space.

Such polyhedral cones are characterized by their extreme rays.
For an arbitrary number of parties, it is known that the so-called perfect tensors are extreme rays.
In this work, we constrain the form of the remaining extreme rays by showing that they correspond to geometries with vanishing mutual information between any two parties, ensuring the absence of Bell pair type entanglement between them.

Superbalance of Holographic Entropy Inequalities · Around

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S. Hernandez-Cuenca, The Holographic Entropy Cone for Five Regions , 1903.09148
Original
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B. Czech and X. Dong, Holographic entropy cone with time dependence in two dimensions , JHEP 10
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T. He, M. Headrick and V. E. Hubeny, Holographic Entropy Relations Repackaged , JHEP 10
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S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT , Phys. Rev. Lett. 96
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Earlier work this paper cites.

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Then

D. Marolf, M. Rota and J. Wien, Handlebody phases and the polyhedrality of the holographic entropy cone , JHEP 10
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2017
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V. E. Hubeny, M. Rangamani and M. Rota, The holographic entropy arrangement , Fortsch. Phys. (2018) [ 1812.08133 ]
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