Holography without Strings
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If you have a question about this talk, please contact Helvi Witek.
A defining feature of holographic dualities is that, along with the bulk equations of motion, boundary correlators at any given time $t$ determine those of observables deep in the bulk. We argue that this property emerges from the bulk gravitational Gauss law together with bulk quantum entanglement as embodied in the ReehSchlieder theorem. Stringy bulk degrees of freedom are not required and play little role even when they exist. As an example we study a toy model whose matter sector is a free scalar field. The energy density $\rho$ sources what we call a pseudoNewtonian potential $\Phi$ through Poisson’s equation on each constant time surface, but there is no backreaction of $\Phi$ on the matter. We show the Hamiltonian to be essentially selfadjoint on the domain generated from the vacuum by acting with boundary observables localized in an arbitrarily small neighborhood of the chosen time $t$. Since the Gauss law represents the Hamiltonian as a boundary term, the model is holographic in the sense stated above.
This talk is part of the DAMTP Friday GR Seminar series.
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