Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 31, Issue 1, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/31/1/015008
Keywords
gauge/gravity duality
Categories
Funding
- National Science Foundation [PHY11-25915]
- University of California
- Division Of Physics
- Direct For Mathematical & Physical Scien [1205500] Funding Source: National Science Foundation
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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 Reeh-Schlieder 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 pseudo-Newtonian potential Phi through Poisson's equation on each constant time surface, but there is no back-reaction of Phi on the matter. We show the Hamiltonian to be essentially self-adjoint 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.
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