Quantum Topologically Massive Gravity in de Sitter Space

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.

25 pages, 1 figure; v2: minor corrections

References in corpus (3)

• Massive Gravity in Three Dimensions
• Graviton 1-loop partition function for 3-dimensional massive gravity
• Holography For a De Sitter-Esque Geometry

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• Low-dimensional de Sitter quantum gravity
• Tweaking one-loop determinants in AdS${}_3$
• Quasinormal Modes and Hidden Conformal Symmetry of Warped dS${}_3$ Black Hole
• New Chiral Gravity
• The Wave Function of Quantum de Sitter
• Consistent 3D Quantum Gravity on Lens Spaces
• Higher spin partition functions via the quasinormal mode method in de Sitter quantum gravity
• Supersymmetric Localization on dS: Sum over topologies