P-term Potentials from 4-D Supergravity
Abstract
P-term inflation arises in some models of brane inflation. Within N=2 supersymmetry the scalar potential contains a vector of Fayet-Iliopoulos (FI) terms . Depending on the direction of this vector it is possible to get D-term and F-term inflation or a mix of these models. In this paper we review the problems of embedding the P-term model in supergravity and show how these can be solved by considering the truncation from an N=2 theory to N=1. We show that with a simple gauging the scalar potential can include F-term or D-term parts but not both. The gauging can be altered so that both F-terms and D-terms containing FI constants can be included. In all cases we display the inflationary trajectory and, if it exists, the supersymmetric minimum.
Keywords
Cite
@article{arxiv.0705.1657,
title = {P-term Potentials from 4-D Supergravity},
author = {C. Burrage and A. C. Davis},
journal= {arXiv preprint arXiv:0705.1657},
year = {2009}
}