Moduli Corrections to D-term Inflation
Ph. Brax, C. van de Bruck, A. C. Davis, Stephen C. Davis, R. Jeannerot, and M. Postma

TL;DR
This paper develops a supergravity-based D-term hybrid inflation model incorporating moduli stabilization, successfully addressing key theoretical challenges and producing inflation consistent with observational data, while also analyzing cosmic string formation.
Contribution
It introduces a novel D-term inflation model with moduli stabilization that overcomes previous theoretical issues and generates cosmic strings with new properties.
Findings
Achieves successful inflation within a limited parameter range.
Produces spectral index compatible with WMAP3 data.
Studies properties of non-BPS cosmic D-term strings.
Abstract
We present a D-term hybrid inflation model, embedded in supergravity with moduli stabilisation. Its novel features allow us to overcome the serious challenges of combining D-term inflation and moduli fields within the same string-motivated theory. One salient point of the model is the positive definite uplifting D-term arising from the moduli stabilisation sector. By coupling this D-term to the inflationary sector, we generate an effective Fayet-Iliopoulos term. Moduli corrections to the inflationary dynamics are also obtained. Successful inflation is achieved for a limited range of parameter values with spectral index compatible with the WMAP3 data. Cosmic D-term strings are also formed at the end of inflation; these are no longer Bogomol'nyi-Prasad-Sommerfeld (BPS) objects. The properties of the strings are studied.
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