%0 Journal Article %1 Castro2011Quantum %A Castro, Alejandra %A Lashkari, Nima %A Maloney, Alexander %D 2011 %K 3dgravity, ds-cft, tmg %T Quantum Topologically Massive Gravity in de Sitter Space %U http://arxiv.org/abs/1105.4733 %X We consider three dimensional gravity with a positive cosmological constant and non- zero gravitational Chern-Simons term. This theory has inflating de Sitter solutions and local metric degrees of freedom. The Euclidean signature partition function of the theory is evaluated including both perturbative and non-perturbative corrections. The perturbative one-loop correction is computed using heat kernel techniques. The non- perturbative corrections come from gravitational instantons with non-trivial topology which can be enumerated explicitly. We compute the sum over an infinite class of ge- ometries and show that, unlike the case of pure Einstein gravity, the partition function is finite. This demonstrates that the inclusion of non-trivial local degrees of freedom can render the sum over geometries convergent.

@article{Castro2011Quantum, abstract = {{We consider three dimensional gravity with a positive cosmological constant and non- zero gravitational Chern-Simons term. This theory has inflating de Sitter solutions and local metric degrees of freedom. The Euclidean signature partition function of the theory is evaluated including both perturbative and non-perturbative corrections. The perturbative one-loop correction is computed using heat kernel techniques. The non- perturbative corrections come from gravitational instantons with non-trivial topology which can be enumerated explicitly. We compute the sum over an infinite class of ge- ometries and show that, unlike the case of pure Einstein gravity, the partition function is finite. This demonstrates that the inclusion of non-trivial local degrees of freedom can render the sum over geometries convergent.}}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Castro, Alejandra and Lashkari, Nima and Maloney, Alexander}, biburl = {https://www.bibsonomy.org/bibtex/26a97733548d635db0d568c5301f0552b/acastro}, citeulike-article-id = {9351131}, citeulike-linkout-0 = {http://arxiv.org/abs/1105.4733}, citeulike-linkout-1 = {http://arxiv.org/pdf/1105.4733}, day = 21, eprint = {1105.4733}, interhash = {36528078a89926f43722fbf73730838a}, intrahash = {6a97733548d635db0d568c5301f0552b}, keywords = {3dgravity, ds-cft, tmg}, month = sep, posted-at = {2011-05-30 23:50:17}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{Quantum Topologically Massive Gravity in de Sitter Space}}, url = {http://arxiv.org/abs/1105.4733}, year = 2011 }