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Conformal unitary circuits and toy quantum gravity

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If you have a question about this talk, please contact Laurens Lootens .

We introduce a spin-chain with dynamics consisting of a unitary circuit with discrete conformal symmetry. This model is holographically dual to a toy theory of quantum gravity in 2+1 dimensions, where certain tensor-network states correspond to classical discrete geometries. Unlike previous approaches, like holographic codes, these tensor networks and geometries evolve in time, reproducing some general relativity phenomena. Also, these states satisfy the Ryu-Takayanagi correspondence between entanglement and geometry, but they provide much more, they contain a complete description of the bulk, including the interior of black holes, a feature that is not so transparent in standard AdS/CFT.

This talk is part of the CQIF Seminar series.

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Topology Seminar Pfeiffer Room, Hughes Hall, University of Cambridge Dyson Teaching Room, Department of Engineering / Online (Zoom Meeting ID: 856 2376 0684 Passcode: 986863)

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