Cosmological string theories and discrete inflation

Physics

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Scientific paper

We catalogue string theories which can be interpreted as Robertson-Walker cosmologies. In the absence of dynamic matter, we find only two discrete classes of such theories: static Einstein universes and linearly expanding Milne universes. These correspond to conformal field theories on group manifolds, with the sizes of the Einstein universes related to the level of the Kac-Moody algebra, and Milne universes also offering a geometrical interpretation of a Goddard-Kent-Olive coset construction. String loop effects or non-perturbative phenomena can generate a non-trivial dilaton potential, in which case string theory admits an inflationary cosmology whose Hubble constant is related to the gauge coupling. Presently known conformal field theories permit only a discrete set of values for the Hubble constant, all of which are O(1) in Planck units.

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