Paper
Towards a holographic framework for cosmology
Published Mar 21, 2013 · Xi Dong
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Abstract
Studies on black hole physics have lead to the holographic principle, which states that a quantum gravitational system can be captured by a theory living in fewer dimensions. Given the observed accelerating expansion of our universe, it has been a major challenge to understand the realization of the holographic principle in cosmology. In this dissertation we review our progress in building such a framework. Starting from concrete AdS/CFT dual pairs, we obtain de Sitter and other general FRW solutions by adding branes and other ingredients from string theory. In the de Sitter case, our brane construction gives a microscopic realization of the dS/dS correspondence. The degrees of freedom in the semi-holographic dual theory provide a parametric interpretation of the Gibbons-Harking entropy of the bulk de Sitter space. In the FRW case, we focus on a family of simple FRW solutions sourced by magnetic flavor branes. These solutions have a holographic dual interpretation which decouples from gravity at late time, opening up the possibility of a precise duality. Time-dependent effects play a crucial role in these dual theories. In particular, we find that time-dependent couplings in a quantum field theory can strongly affect long-distance physics, effectively shifting the infrared operator dimensions and generalizing known unitarity bounds.
This research advances a holographic framework for cosmology, enabling precise duality and addressing the challenge of capturing quantum gravitational systems in fewer dimensions.
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