D-term inflation in non-minimal supergravity

D-term inflation is one of the most interesting and versatile models of inflation. It is possible to implement naturally D-term inflation within high energy physics, as for example supersymmetry grand unified, supergravity, or string theories. D-term inflation avoids the eta-problem, while in its standard form it always ends with the formation of cosmic strings. Given the recent three-year Wilkinson Microwave Anisotropy Probe data on the cosmic microwave background temperature anisotropies, we examine whether D-term inflation can be successfully implemented in non-minimal supergravity theories. We show that for all our choices of Kahler potential, there exists a parameter space for which the predictions of D-term inflation are in agreement with the measurements. The cosmic string contribution to the measured temperature anisotropies is always dominant, unless the superpotential coupling constant is fine-tuned; a result already obtained for D-term inflation within minimal supergravity. In conclusion, cosmic strings and their role in the angular power spectrum cannot be easily hidden by just considering a non-flat Kahler geometry.