%0 Generic %1 Castro2012Wave %A Castro, Alejandra %A Maloney, Alexander %D 2012 %K 3dgravity, ds-cft %T The Wave Function of Quantum de Sitter %U http://arxiv.org/abs/1209.5757 %X We consider quantum general relativity in three dimensions with a positive cosmological constant. The Hartle-Hawking wave function is computed as a function of metric data at asymptotic future infinity. The analytic continuation from Euclidean Anti-de Sitter space provides a natural integration contour in the space of metrics, allowing us -- with certain assumptions -- to compute the wave function exactly, including both perturbative and non-perturbative effects. The resulting wave function is a non-normalizable function of the conformal structure of future infinity which is infinitely peaked at geometries where I^+ becomes infinitely inhomogeneous. We interpret this as a non-perturbative instability of de Sitter space in three dimensional Einstein gravity.

@misc{Castro2012Wave, abstract = {{We consider quantum general relativity in three dimensions with a positive cosmological constant. The Hartle-Hawking wave function is computed as a function of metric data at asymptotic future infinity. The analytic continuation from Euclidean Anti-de Sitter space provides a natural integration contour in the space of metrics, allowing us -- with certain assumptions -- to compute the wave function exactly, including both perturbative and non-perturbative effects. The resulting wave function is a non-normalizable function of the conformal structure of future infinity which is infinitely peaked at geometries where I^+ becomes infinitely inhomogeneous. We interpret this as a non-perturbative instability of de Sitter space in three dimensional Einstein gravity.}}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Castro, Alejandra and Maloney, Alexander}, biburl = {https://www.bibsonomy.org/bibtex/2a7832494fbe98d176deb967684966648/acastro}, citeulike-article-id = {11329582}, citeulike-linkout-0 = {http://arxiv.org/abs/1209.5757}, citeulike-linkout-1 = {http://arxiv.org/pdf/1209.5757}, day = 25, eprint = {1209.5757}, interhash = {4932102d875326b877be8badc4e83431}, intrahash = {a7832494fbe98d176deb967684966648}, keywords = {3dgravity, ds-cft}, month = sep, posted-at = {2012-09-27 02:06:12}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{The Wave Function of Quantum de Sitter}}, url = {http://arxiv.org/abs/1209.5757}, year = 2012 }