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Abstract: In this work, we review the results of Refs 1-5 dedicated to thedescription of the early Universe cosmology induced by quantum and thermaleffects in superstring theories. The present evolution of the Universe isdescribed very accurately by the standard Lambda-CDM scenario, while verylittle is known about the early cosmological eras. String theory provides aconsistent microscopic theory to account for such missing epochs. In ourframework, the Universe is a torus filled with a gas of superstrings. We firstshow how to describe the thermodynamical properties of this system, namelyenergy density and pressure, by introducing temperature and supersymmetrybreaking effects at a fundamental level by appropriate boundary conditions.We focus on the intermediate period of the history: After the very early-Hagedorn era- and before the late electroweak phase transition. We determinethe back-reaction of the gas of strings on the initially static space-time,which then yields the induced cosmology. The consistency of our approach isguaranteed by checking the quasi-staticness of the evolution. It turns out thatfor arbitrary initial boundary conditions at the exit of the Hagedorn era, thequasi-static evolutions are universally attracted to radiation-dominatedsolutions. It is shown that at these attractor points, the temperature, theinverse scale factor of the Universe and the supersymmetry breaking scaleevolve proportionally. There are two important effects which result from theunderlying string description. First, initially small internal dimensions canbe spontaneously decompactified during the attraction to a radiation dominatedUniverse. Second, the radii of internal dimensions can be stabilized.

Autor: F. Bourliot, J. Estes, C. Kounnas, H. Partouche


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