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Original
2016
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2016
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2017
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Then

Alexei Kitaev and S. Josephine Suh, “Statistical mechanics of a two-dimensional black hole,” JHEP 05
Original
2019
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Original
2020
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Samuel Leutheusser and Hong Liu, “Emergent times in holographic duality,” (12 2021), arXiv:2112.12156 [hep-th]
Original
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2022

The bulk Hilbert space of double scaled SYK

Lin, Henry W.

Understand

The emergence of the bulk Hilbert space is a mysterious concept in holography.

In arXiv:1811.02584, the SYK model was solved in the double scaling limit by summing chord diagrams.
Here, we explicitly construct the bulk Hilbert space of double scaled SYK by slicing open these chord diagrams; this Hilbert space resembles that of a lattice field theory where the length of the lattice is dynamical and determined by the chord number.
Under a calculable bulk-to-boundary map, states of fixed chord number map to particular entangled 2-sided states with a corresponding size.