Built on

B. Czech and X. Dong, Holographic Entropy Cone with Time Dependence in Two Dimensions , [ 1905.03787 ]
Original
1905
Earlier work this paper cites.
R. J. Caginalp, The Holographic Entropy Cone in AdS-Vaidya Spacetimes , [ 1905.00544 ]
Original
1905
Earlier work this paper cites.
J. Maldacena, The Large-N Limit of Superconformal Field Theories and Supergravity , Int. J. Theor. Phys 38
1999
Earlier work this paper cites.
O. Aharony, S. S. Gubser, J. Maldacena, H. Ooguri and Y. Oz, Large N Field Theories, String Theory and Gravity , Phys. Rep. 323
2000
Earlier work this paper cites.
B. Grunbaum, Convex Polytopes , vol. 221 of Graduate Texts in Mathematics . Springer, New York, 2003, 10.1007/978-1-4613-0019-9
2003
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic Derivation of Entanglement Entropy from the AdS/CFT Correspondence , Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani and T. Takayanagi, A covariant holographic entanglement entropy proposal , J. High Energy Phys. 2007
Original
2007
Earlier work this paper cites.
M. Headrick and T. Takayanagi, A holographic proof of the strong subadditivity of entanglement entropy , Phys. Rev. D 76
Original
2007
Earlier work this paper cites.

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2019

The Holographic Entropy Cone for Five Regions

Hernández-Cuenca, Sergio

Understand

Even though little is known about the quantum entropy cone for $N\geq4$ subsystems, holographic techniques allow one to get a handle on the subspace of entropy vectors corresponding to states with gravity duals.

For static spacetimes and $N$ boundary subsystems, this space is a convex polyhedral cone known as the holographic entropy cone $\mathcal{C}_N$ for $N$ regions.
While an explicit description of $\mathcal{C}_N$ was accomplished for all $N\leq4$ in the initial study, the information given about larger $N$ was only partial already for $\mathcal{C}_5$.
This letter provides a complete construction of $\mathcal{C}_5$ by exhibiting graph models for every extreme ray orbit generating the cone defined by all proven holographic entropy inequalities for $N=5$.

Built on

B. Czech and X. Dong, Holographic Entropy Cone with Time Dependence in Two Dimensions , [ 1905.03787 ]
Original
1905
Earlier work this paper cites.
R. J. Caginalp, The Holographic Entropy Cone in AdS-Vaidya Spacetimes , [ 1905.00544 ]
Original
1905
Earlier work this paper cites.
J. Maldacena, The Large-N Limit of Superconformal Field Theories and Supergravity , Int. J. Theor. Phys 38
1999
Earlier work this paper cites.
O. Aharony, S. S. Gubser, J. Maldacena, H. Ooguri and Y. Oz, Large N Field Theories, String Theory and Gravity , Phys. Rep. 323
2000
Earlier work this paper cites.
B. Grunbaum, Convex Polytopes , vol. 221 of Graduate Texts in Mathematics . Springer, New York, 2003, 10.1007/978-1-4613-0019-9
2003
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic Derivation of Entanglement Entropy from the AdS/CFT Correspondence , Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani and T. Takayanagi, A covariant holographic entanglement entropy proposal , J. High Energy Phys. 2007
Original
2007
Earlier work this paper cites.
M. Headrick and T. Takayanagi, A holographic proof of the strong subadditivity of entanglement entropy , Phys. Rev. D 76
Original
2007
Earlier work this paper cites.