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 ${\xi }_i$. 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.

21 pages, no figures

References in corpus (13)

• de Sitter Vacua in String Theory
• Towards Inflation in String Theory
• D3/D7 Inflationary Model and M-theory
• Fayet-Iliopoulos Terms in Supergravity and Cosmology
• Superconformal Symmetry, Supergravity and Cosmology
• D3/D7 Brane Inflation and Semilocal Strings
• General Matter Coupled N=2 Supergravity
• Supersymmetry reduction of N-extended supergravities in four dimensions
• Consistent reduction of N=2 -> N=1 four dimensional supergravity coupled to matter
• P-term, D-term and F-term inflation
• F-term strings in the Bogomol'nyi limit are also BPS states
• D-term cosmic strings from N=2 Supergravity
• Half-BPS cosmic string in N=2 supergravity in the presence of a dilaton

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• Cosmic microwave anisotropies from BPS semilocal strings
• A Study of Structure Formation and Reheating in the D3/D7 Brane Inflation Model
• P-term Strings and Semi-local Strings