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We study the cosmology of a recent model of supersymmetry breaking, in thepresence of a tuneable positive cosmological constant, based on a gauged shiftsymmetry of a string modulus that can be identified with the string dilaton.The minimal spectrum of the `hidden' supersymmetry breaking sector consiststhen of a vector multiplet that gauges the shift symmetry of the dilatonmultiplet and when coupled to the MSSM leads to a distinct low energyphenomenology depending on one parameter. Here we study the question if thismodel can also lead to inflation by identifying the dilaton with the inflaton.We find that this is possible if the K\"ahler potential is modified by a termthat has the form of NS5-brane instantons, leading to an appropriateinflationary plateau around the maximum of the scalar potential, depending ontwo extra parameters. This model is consistent with present cosmologicalobservations without modifying the low energy particle phenomenology associatedto the minimum of the scalar potential.

Inflation from Supergravity with Gauged R-symmetry in de Sitter Vacuum