Equivalent Equations of Motion for Gravity and Entropy
High Energy Physics - Theory
2017-03-08 v1
Abstract
We demonstrate an equivalence between the wave equation obeyed by the entanglement entropy of CFT subregions and the linearized bulk Einstein equation in Anti-de Sitter pace. In doing so, we make use of the formalism of kinematic space [arXiv:1505.05515] and fields on this space, introduced in [arXiv:1604.03110]. We show that the gravitational dynamics are equivalent to a gauge invariant wave-equation on kinematic space and that this equation arises in natural correspondence to the conformal Casimir equation in the CFT.
Keywords
Cite
@article{arxiv.1608.06282,
title = {Equivalent Equations of Motion for Gravity and Entropy},
author = {Bartlomiej Czech and Lampros Lamprou and Samuel McCandlish and Benjamin Mosk and James Sully},
journal= {arXiv preprint arXiv:1608.06282},
year = {2017}
}
Comments
7+4 pages, 3 figures