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Tensor Networks from Kinematic Space
Bartlomiej Czech, Lampros Lamprou, Samuel McCandlish +1
We point out that the MERA network for the ground state of a 1+1-dimensional conformal field theory has the same structural features as kinematic space---the geometry of CFT interv…
A tensor network quotient takes the vacuum to the thermal state
Bartlomiej Czech, Glen Evenbly, Lampros Lamprou +4
In 1+1-dimensional conformal field theory, the thermal state on a circle is related to a certain quotient of the vacuum on a line. We explain how to take this quotient in the MERA…
The Holographic Entropy Cone
Ning Bao, Sepehr Nezami, Hirosi Ooguri +3
We initiate a systematic enumeration and classification of entropy inequalities satisfied by the Ryu-Takayanagi formula for conformal field theory states with smooth holographic du…
Integral Geometry and Holography
Bartlomiej Czech, Lampros Lamprou, Samuel McCandlish +1
We present a mathematical framework which underlies the connection between information theory and the bulk spacetime in the AdS/CFT correspondence. A key concept is kinemat…