Holographic de Sitter Geometry from Entanglement in Conformal Field Theory
High Energy Physics - Theory
2016-02-15 v2 General Relativity and Quantum Cosmology
Quantum Physics
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 time-like direction in dS 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.
Keywords
Cite
@article{arxiv.1509.00113,
title = {Holographic de Sitter Geometry from Entanglement in Conformal Field Theory},
author = {Jan de Boer and Michal P. Heller and Robert C. Myers and Yasha Neiman},
journal= {arXiv preprint arXiv:1509.00113},
year = {2016}
}
Comments
7 pages, 4 figures. v2: reference added, title changed by journal, matches published version