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Modular Berry Connection
Bartlomiej Czech, Lampros Lamprou, Samuel McCandlish +1
The Berry connection describes transformations induced by adiabatically varying Hamiltonians. We study how zero modes of the modular Hamiltonian are affected by varying the region…
Equivalent Equations of Motion for Gravity and Entropy
Bartlomiej Czech, Lampros Lamprou, Samuel McCandlish +2
We demonstrate an equivalence between the wave equation obeyed by the entanglement entropy of CFT subregions and the linearized bulk Einstein equation in Anti-de Sitter pace. In do…
A Stereoscopic Look into the Bulk
Bartlomiej Czech, Lampros Lamprou, Samuel McCandlish +2
We present the foundation for a holographic dictionary with depth perception. The dictionary consists of natural CFT operators whose duals are simple, diffeomorphism-invariant bulk…
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…
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…