Simple de Sitter solutions

By E. Silverstein. 2007

216 citations recorded by the source corpus.

We present a framework for de Sitter model building in type IIA string theory, illustrated with specific examples. We find metastable dS minima of the potential for moduli obtained from a compactification on a product of two Nil three-manifolds (which have negative scalar curvature) combined with orientifolds, branes, fractional Chern-Simons forms, and fluxes. As a discrete quantum number is taken large, the curvature, field strengths, inverse volume, and four dimensional string coupling become parametrically small, and the de Sitter Hubble scale can be tuned parametrically smaller than the scales of the moduli, KK, and winding mode masses. A subtle point in the construction is that although the curvature remains consistently weak, the circle fibers of the nilmanifolds become very small in this limit (though this is avoided in illustrative solutions at modest values of the parameters). In the simplest version of the construction, the heaviest moduli masses are parametrically of the same order as the lightest KK and winding masses. However, we provide a method for separating these marginally overlapping scales, and more generally the underlying supersymmetry of the model protects against large corrections to the low-energy moduli potential.

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

View Paper: https://www.semanticscholar.org/paper/c11e55b26f4adddb022a2c8518a38dc19604523e

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Citations in the corpus

Monodromy in the CMB: Gravity Waves and String Inflation (2008, methodology): “To assess the viability of our mechanism in a concrete model, we therefore include in this section the formulas for our model parameters in terms of these discrete quantum numbers in the construction [4] on a product N3×Ñ3 of Nil three-manifolds.”
The powers of monodromy (2014, unknown): “[38]).”
Inflation and String Theory (2014, background): “For the moduli stabilization constructions described in [292, 293], the D4-brane energy exceeds the scale of the moduli potential barriers when ND4 & O(10), which does not allow enough particle production events for trapped inflation.”
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].”
String cosmology: a review (2007, background): “This extends to more general theories of the form (3.4) [ 65 ].”
Searching for slow-roll moduli inflation in massive type IIA supergravity with metric fluxes (2008, methodology): “There are many objects that one could add, and arguments that generically their presence will allow for de Sitter extrema [16], but we would like to look instead for a minimal set of additional ingredients, and we will focus on one particular class of ingredients which are known as generalized NSNS ”
Les Houches Lectures on Constructing String Vacua (2008, background): “(Quite a bit more ingredients were considered in [40] however, showing how the no-go theor em could be evaded.”
The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets (2008, methodology): “It would certainly be worthwhile to study this possibility in more detail, perhaps including extra ingredients such as NS5-branes and other types of branes [15, 16].”
Simple exercises to flatten your potential (2010, background): “Explicit examples may be found among the axions in [30–32], though we have not developed complete models.”
De Sitter vacua in no-scale supergravities and Calabi-Yau string models (2008, background): “Alternatively, there have been attempts to construct metastable vacua where supersymmetry is broken spontaneously either by D- or F-terms [10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26 , 27].”
F-term axion monodromy inflation (2014, background): “In [15], the φ(2) potential was “ruled out” theoretically based on moduli stabilization consideration (having the simple mechanism [78] and its further simplifications [79–81] in mind, see [82] for a recent discussion).”
Inflationary Constraints on Type IIA String Theory (2007, methodology): “Another promising direction which we have indicated here (also incorporated in [ 46 ]) is to include NS 5-branes and anti-NS 5-branes on 2-cycles in the Calabi-Yau.”
Towards classical de Sitter solutions in string theory (2009, background): “A similar problem seems present in the model of [17] where there is also a non-zero F6 flux.”