期刊
CLASSICAL AND QUANTUM GRAVITY
卷 40, 期 2, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/1361-6382/acaba5
关键词
quantum; de Sitter; finiteness; gravity; cosmology
We study the degrees of freedom for a quantum de Sitter spacetime from both a Lorentzian and a Euclidean perspective. From a Lorentzian perspective, we calculate the dynamical properties of the static patch de Sitter horizon and compare them to those of a black hole. From a Euclidean perspective, we consider the gravitational path integral for fields over compact manifolds. We propose that the localization of the Euclidean gravitational path integral reflects a finite number of degrees of freedom in a de Sitter Universe.
We consider degrees of freedom for a quantum de Sitter spacetime. The problem is studied from both a Lorentzian and a Euclidean perspective. From a Lorentzian perspective, we compute dynamical properties of the static patch de Sitter horizon. These are compared to dynamical features of a black hole. We point out differences suggestive of non-standard thermal behaviour for the de Sitter horizon. We establish that geometries interpolating between an asymptotically AdS(2) x S-2 space and a dS(4) interior are compatible with the null energy condition, albeit with a non-standard decreasing radial size of S-2. The putative holographic dual of an asymptotic AdS(2) spacetime is comprised of a finite number of underlying degrees of freedom. From a Euclidean perspective we consider the gravitational path integral for fields over compact manifolds. In two-dimensions, we review Polchinski's BRST localisation of Liouville theory and propose a supersymmetric extension of timelike Liouville theory which exhibits supersymmetric localisation. We speculate that localisation of the Euclidean gravitational path integral is a reflection of a finite number of of freedom in a de Sitter Universe.
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