P-term Potentials from 4-D Supergravity

Details P-term Potentials from 4-D Supergravity P-term Potentials from 4-D Supergravity

2007-05-11

arxiv.org/abs/0705.1657v1

JHEP 0706:086,2007

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, no figures

Scientific paper

10.1088/1126-6708/2007/06/086

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 $\xi_i$. 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.

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