We show how non-compact (quantum 2d AdS) space-time emerges for specific ratios of the square of the boundary cosmological constant to the cosmological constant in 2d Euclidean quantum gravity.
@article{arxiv.hep-th/0406108,
title = {The Geometry of ZZ-branes},
author = {J. Ambjorn and S. Arianos and J. A. Gesser and S. Kawamoto},
journal= {arXiv preprint arXiv:hep-th/0406108},
year = {2009}
}