2014/12/31 by Andrei Linde, Diederik Roest, Marco Scalisi · 1 citation
Physics and Astronomy · #hep-th #astro-ph.CO #gr-qc #hep-ph
paper · pdf · doi:10.1088/1475-7516/2015/03/017
published as JCAP03(2015)017 · 15 pages, 7 figures. v2: refs added
arxiv created 2015/01/06 · arxiv updated 2015/03/11
We discuss the possibility to construct supergravity models with a single superfield describing inflation as well as the tiny cosmological constant V ∼ 10-120. One could expect that the simplest way to do it is to study models with a supersymmetric Minkowski vacuum and then slightly uplift them. However, due to the recently proven no-go theorem, such a tiny uplifting cannot be achieved by a small modification of the parameters of the theory. We illustrate this general result by investigation of models with a single chiral superfield recently proposed by Ketov and Terada. We show that the addition of a small constant or a linear term to the superpotential of a model with a stable supersymmetric Minkowski vacuum converts it to an AdS vacuum, which results in a rapid cosmological collapse. One can avoid this problem and uplift a supersymmetric Minkowski vacuum to a dS vacuum with V0∼ 10-120 without violating the no-go theorem by making these extra terms large enough. However, we show that this leads to a strong supersymmetry breaking in the uplifted vacua.