De Sitter vacua in no-scale supergravities and Calabi-Yau string models

By L. Covi, M. Gómez-Reino, C. Gross, J. Louis, G. Palma, C. Scrucca. 2008

178 citations recorded by the source corpus.

We perform a general analysis on the possibility of obtaining metastable vacua with spontaneously broken N = 1 supersymmetry and non-negative cosmological constant in the moduli sector of string models. More specifically, we study the condition under which the scalar partners of the Goldstino are non-tachyonic, which depends only on the Kahler potential. This condition is not only necessary but also sufficient, in the sense that all of the other scalar fields can be given arbitrarily large positive square masses if the superpotential is suitably tuned. We consider both heterotic and orientifold string compactifications in the large-volume limit and show that the no-scale property shared by these models severely restricts the allowed values for the 'sGoldstino' masses in the superpotential parameter space. We find that a positive mass term may be achieved only for certain types of compactifications and specific Goldstino directions. Additionally, we show how subleading corrections to the Kahler potential which break the no-scale property may allow to lift these masses.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/0c326f2944e03d272259aed00dbcecc27057c405

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Citations in the corpus

Searching for slow-roll moduli inflation in massive type IIA supergravity with metric fluxes (2008, background): “The no-go theorems of [37], [38] cannot be applied to this particular model since we have D-terms.”
What if string theory has no de Sitter vacua? (2018, background): “General conditions on the perturbative stability for such solutions, implied by the sgoldstino, were analysed in [90,91] and provide interesting constraints on model building.”
Hyperbolic geometry of cosmological attractors (2015, background): “The crucial issue of the stabilization of the inflaton partner during inflation as well as the stabilization of both the inflaton and its partner at the minimum has been studied in detail over the years [11], [12].”
Exploring cosmic origins with CORE: Inflation (2016, background): “More generally, bounds on the curvature tensor of the Kähler manifold [83, 84] imply an interesting constraint on the sound speed cs & 0.”
Inflation and String Theory (2014, background): “45 The principal instability corresponds to the scalar partner of the Goldstino — see [478] for an analysis of geometric conditions that ensure stability in this direction, and [479, 480] for discussions of inflation along this direction.”
The Swampland: Introduction and Review (2019, background): “62 In such cases, there is no general no-go theorem against de Sitter vacua, and there have been many searches for such vacua [464, 468–500].”