Nonlinear gravity from entanglement in conformal field theories
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Publication:1700128
DOI10.1007/JHEP08(2017)057zbMATH Open1381.83099arXiv1705.03026OpenAlexW3103146411MaRDI QIDQ1700128
Author name not available (Why is that?)
Publication date: 2 March 2018
Published in: (Search for Journal in Brave)
Abstract: In this paper, we demonstrate the emergence of nonlinear gravitational equations directly from the physics of a broad class of conformal field theories. We consider CFT excited states defined by adding sources for scalar primary or stress tensor operators to the Euclidean path integral defining the vacuum state. For these states, we show that up to second order in the sources, the entanglement entropy for all ball-shaped regions can always be represented geometrically (via the Ryu-Takayanagi formula) by an asymptotically AdS geometry. We show that such a geometry necessarily satisfies Einstein's equations perturbatively up to second order, with a stress energy tensor arising from matter fields associated with the sourced primary operators. We make no assumptions about AdS/CFT duality, so our work serves as both a consistency check for the AdS/CFT correspondence and a direct demonstration that spacetime and gravitational physics can emerge from the description of entanglement in conformal field theories.
Full work available at URL: https://arxiv.org/abs/1705.03026
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