Quantum Topologically Massive Gravity in de Sitter Space

Details Quantum Topologically Massive Gravity in de Sitter Space Quantum Topologically Massive Gravity in de Sitter Space

2011-05-24

arxiv.org/abs/1105.4733v2

JHEP 1108:040,2011

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 1 figure; v2: minor corrections

Scientific paper

10.1007/JHEP08(2011)040

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.

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