Isometric evolution in de Sitter quantum gravity
High Energy Physics - Theory
2023-02-20 v2 General Relativity and Quantum Cosmology
Abstract
We study time evolution in two simple models of de Sitter quantum gravity, Jackiw-Teitelboim gravity and a minisuperspace approximation to Einstein gravity with a positive cosmological constant. In the former we find that time evolution is isometric rather than unitary, and find suggestions that this is true in Einstein gravity as well. The states that are projected out under time evolution are initial conditions that crunch. Along the way we establish a matrix model dual for Jackiw-Teitelboim gravity where the dilaton varies on the boundary.
Cite
@article{arxiv.2302.06603,
title = {Isometric evolution in de Sitter quantum gravity},
author = {Jordan Cotler and Kristan Jensen},
journal= {arXiv preprint arXiv:2302.06603},
year = {2023}
}
Comments
12+8 pages, 4 figures; v2: typos fixed