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Holographic de Sitter Geometry from Entanglement in Conformal Field Theory
Jan de Boer1, Michal P Heller2, Robert C Myers2
1Institute for Theoretical Physics, University of Amsterdam, 1090 GL Amsterdam, Netherlands.
Abstract:
We demonstrate that, for general conformal field theories (CFTs), the entanglement for small perturbations of the vacuum is organized in a novel holographic way. For spherical entangling regions in a constant time slice, perturbations in the entanglement entropy are solutions of a Klein-Gordon equation in an auxiliary de Sitter (dS) spacetime. The role of the emergent timelike direction in dS spacetime is played by the size of the entangling sphere. For CFTs with extra conserved charges, e.g., higher-spin charges, we show that each charge gives rise to a separate dynamical scalar field in dS spacetime.
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