Update of D3/D7-brane inflation on K3×T2/Z2K3×T2/Z2

We update the D3/D7-brane inflation model on K3×T2/Z2K3×T2/Z2 with branes and fluxes. For this purpose, we study the low energy theory including gsgs corrections to the gaugino condensate superpotential that stabilizes the K  3 volume modulus. The gauge kinetic function is verified to become holomorphic when the original N=2N=2 supersymmetry is spontaneously broken to N=1N=1 by bulk fluxes. From the underlying classical N=2N=2 supergravity, the theory inherits a shift symmetry which provides the inflaton with a naturally flat potential. We analyze the fate of this shift symmetry after the inclusion of quantum corrections. The field range of the inflaton is found to depend significantly on the complex structure of the torus but is independent of its volume. This allows for a large kinematical field range for the inflaton. Furthermore, we show that the D3/D7 model may lead to a realization of the recent CMB fit by Hindmarsh et al. with an 11% contribution from cosmic strings and a spectral index close to ns=1ns=1. On the other hand, by a slight change of the parameters of the model one can strongly suppress the cosmic string contribution and reduce the spectral index nsns to fit the WMAP5 data in the absence of cosmic strings. We also demonstrate that the inclusion of quantum corrections allows for a regime of eternal D3/D7 inflation.