Lorentzian 3d Gravity with Wormholes via Matrix Models
High Energy Physics - Theory
2010-02-03 v1 General Relativity and Quantum Cosmology
Abstract
We uncover a surprising correspondence between a non-perturbative formulation of three-dimensional Lorentzian quantum gravity and a hermitian two-matrix model with ABAB-interaction. The gravitational transfer matrix can be expressed as the logarithm of a two-matrix integral, and we deduce from the known structure of the latter that the model has two phases. In the phase of weak gravity, well-defined two-dimensional universes propagate in proper time, whereas in the strong-coupling phase the spatial hypersurfaces disintegrate into many components connected by wormholes.
Cite
@article{arxiv.hep-th/0106082,
title = {Lorentzian 3d Gravity with Wormholes via Matrix Models},
author = {J. Ambjorn and J. Jurkiewicz and R. Loll and G. Vernizzi},
journal= {arXiv preprint arXiv:hep-th/0106082},
year = {2010}
}
Comments
35 pages, 9 figures