Topological Gravity as the Early Phase of Our Universe
Sep 21, 2020
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Abstract: (arXiv)
Motivated by string dualities we propose topological gravity as the early phase of our universe. The topological nature of this phase naturally leads to the explanation of many of the puzzles of early universe cosmology. A concrete realization of this scenario using Witten's four dimensional topological gravity is considered. This model leads to the power spectrum of CMB fluctuations which is controlled by the conformal anomaly coefficients . In particular the strength of the fluctuation is controlled by and its tilt by where is the coupling constant of topological gravity. The positivity of , a consequence of unitarity, leads automatically to an IR tilt for the power spectrum. In contrast with standard inflationary models, this scenario predicts non-Gaussianities for four- and higher-point correlators and the absence of tensor modes in the CMB fluctuations.Note:
- 27 pages, 3 figures
- gravitation: topological
- cosmic background radiation: fluctuation
- cosmic background radiation: power spectrum
- anomaly: conformal
- inflation: model
- duality: string
- dimension: 4
- correlation function
- cosmological model
- coupling constant
References(37)
Figures(5)
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