Abstract
We present a D-term hybrid inflation model, embedded in supergravity with moduli stabilization.Its novel features allow us to overcome the serious challenges of combiningD-term inflation and moduli fields within the same string motivatedtheory. One salient point of the model is the positive definite upliftingD-term arising from the moduli stabilization sector. By coupling thisD-term to the inflationary sector, we generate an effective Fayet–Iliopoulos term. Moduli correctionsto the inflationary dynamics are also obtained. Successful inflation is achieved for a limitedrange of parameter values with spectral index compatible with the WMAP3 data. CosmicD-term strings are also formed at the end of inflation; these are no longerBogomol’nyi–Prasad–Sommerfeld (BPS) objects. The properties of the strings are studied.
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