Eternal inflation with α'-corrections -: art. no. 003

Higher-order a alpha'-corrections are a generic feature of type IIB string compactifications. In KKLT-like models of moduli stabilization they provide a mechanism of breaking of the no-scale structure of the volume modulus. We present a model of inflation driven by the volume modulus of flux compactifications of the type IIB superstring. Using the effects of gauginocondensation on D7-branes and perturbative alpha'-corrections the volume modulus can be stabilized in a scalar potential which simultaneously contains saddle points providing slow-roll inflation with about 130 e-foldings. We can accommodate the WMAP data with a spectral index of density. fluctuations n(s) = 0.93. Our model allows for eternal inflation providing the initial conditions of slow-roll inflation.