On Fayet-Iliopoulos terms and de Sitter vacua in supergravity: some easy pieces

Details On Fayet-Iliopoulos terms and de Sitter vacua in supergravity: some easy pieces On Fayet-Iliopoulos terms and de Sitter vacua in supergravity: some easy pieces

2011-10-10

arxiv.org/abs/1110.2174v3

JHEP01 (2012) 002

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, no figures; v3: added sentence at the end of section 3.2

Scientific paper

10.1007/JHEP01(2012)002

We clarify a number of issues on Fayet-Iliopoulos (FI) terms in supergravity, keeping the formalism at a minumum and making use of explicit examples. We explain why, if the U(1) vector is massive everywhere in field space, FI terms are not genuine and can always be redefined away or introduced when they are not present. We formulate a simple anomaly-free model with a genuine FI term, a classically stable de Sitter (dS) vacuum and no global symmetries. We explore the relation between N=2 and N=1 FI terms by discussing N=1 truncations of N=2 models with classically stable dS vacua.

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