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Towards explicit discrete holography: Aperiodic spin chains from hyperbolic tilings

Towards explicit discrete holography: Aperiodic spin chains from hyperbolic tilings

We propose a new example of discrete holography that provides a new step towards establishing the AdS/CFT duality for discrete spaces. A class of boundary Hamiltonians is obtained in a natural way from regular tilings of the hyperbolic Poincaré disk, via an inflation rule that allows to construct the tiling …