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We update the D3/D7-brane inflation model on K3 x T^2/Z_2 with branes andfluxes. For this purpose, we study the low energy theory including g_scorrections to the gaugino condensate superpotential that stabilizes the K3volume modulus. The gauge kinetic function is verified to become holomorphicwhen the original N=2 supersymmetry is spontaneously broken to N=1 by bulkfluxes. From the underlying classical N=2 supergravity, the theory inherits ashift symmetry which provides the inflaton with a naturally flat potential. Weanalyze the fate of this shift symmetry after the inclusion of quantumcorrections. The field range of the inflaton is found to depend significantlyon the complex structure of the torus but is independent of its volume. Thisallows for a large kinematical field range for the inflaton. Furthermore, weshow that the D3/D7 model may lead to a realization of the recent CMB fit byHindmarsh et al. with an 11% contribution from cosmic strings and a spectralindex close to n_s=1. On the other hand, by a slight change of the parametersof the model one can strongly suppress the cosmic string contribution andreduce the spectral index n_s to fit the WMAP5 data in the absence of cosmicstrings. We also demonstrate that the inclusion of quantum corrections allowsfor a regime of eternal D3/D7 inflation.

Update of D3/D7-Brane Inflation on K3 x T^2/Z_2