Type IIA Moduli Stabilization

By Oliver DeWolfe, A. Giryavets, S. Kachru, Washington Taylor. 2005

512 citations recorded by the source corpus.

We demonstrate that flux compactifications of type IIA string theory can classically stabilize all geometric moduli. For a particular orientifold background, we explicitly construct an infinite family of supersymmetric vacua with all moduli stabilized at arbitrarily large volume, weak coupling, and small negative cosmological constant. We obtain these solutions from both ten-dimensional and four-dimensional perspectives. For more general backgrounds, we study the equations for supersymmetric vacua coming from the effective superpotential and show that all geometric moduli can be stabilized by fluxes. We comment on the resulting picture of statistics on the landscape of vacua.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0eb8db247fd927832f4327e23106765505e4032a

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Citations in the corpus

Simple de Sitter solutions (2007, methodology): “Simple and explicit models of compactification down to AdS4 have been found using this general framework(1) in type IIB string theory [18,19,20] and IIA [14,16,21,22,15,23].”
Lectures on the Swampland Program in String Compactifications (2021, background): “Consider F-theory compactified on an elliptically fibered CY3.”
On the Geometry of the String Landscape and the Swampland (2006, background): “) Consider for example the flux compactifications in [16].”
Inflationary Constraints on Type IIA String Theory (2007, methodology): “6 This type of relation was used in [43] to show that vacua in a specific IIA compactification must be anti-de Sitter, and in [49] to rule out a simple F-term uplift of this model; here we have shown that this relation holds very generally in IIA compactifications, and furthermore rules out inflatio”
What if string theory has no de Sitter vacua? (2018, background): “oned that IIA string theory is a more natural environment to study modulistabilisation, since it is suggested that moduli-stabilisation can even be achieved at the classical level in (SUSY) AdS vacua [99,100]. One drawback of these constructions is that the backreaction of the intersecting O6 planes”
Flux compactifications in string theory: A Comprehensive review (2005, methodology): “[23] argues, one can use the Calabi-Yau superpotentials and Kähler potential to attempt to determine the vacua and dynamics in terms of the properly corrected superpotential and Kähler potential.”
Smeared versus localised sources in flux compactifications (2010, background): “It is for example not known whether or how the supersymmetric solutions of [35] are localisable, mainly because they involve multiple intersecting orientifolds.”
De Sitter hunting in a classical landscape (2011, background): “For instance, the SUSY AdS solutions of [6, 37, 52, 55] are quite robust against these variations since the flux parameters are not entirely fixed in the solutions and there are still many fluxes that can be chosen freely.”
Searching for slow-roll moduli inflation in massive type IIA supergravity with metric fluxes (2008, methodology): “The original work of HTKSO [12] studied three simple orientifolds of T 6 [10], [14], [15] in the hope to find inflation, only to be disappointed, and HKTT [13] extended this work and proved a no-go theorem that applies to compactifications of IIA string theory on general Calabi-Yau manifolds with st”
Generalized flux vacua (2006, unknown): “These vacua are reminiscent of the parametrically controlled IIA vacua described in [22], although in that case there was an explicit picture of the vacua as ten-dimensional compactifications on a large radius Calabi-Yau manifold.”
The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets (2008, methodology): “It may be possible, however, to argue for the stabilization of the blow-up modes using a local analysis of the singularities as in [10].”
Nongeometric flux compactifications (2005, methodology): “The construction of flux compactifications with orientifolds was developed in [2, 3], and applied to the IIB theory in [4] and many subsequent papers, and to the IIA theory in [16, 19, 20, 34, 35, 36].”
More Dual Fluxes and Moduli Fixing (2006, background): “This could be avoided in AdS vacua, as occurs in the IIA/O6 models without [7] and with metric fluxes [8].”
Random matrices and the spectrum of N-flation (2005, background): “Type IIA moduli stabilization with fluxes [31] produces a hierarchy between the scale of moduli stabilization and the scale at which nonperturbative effects produce axion masses.”
A scan for new N = 1 vacua on twisted tori (2006, background): “We can therefore build an AdS4 solution à la [9] on this twisted torus; see also [23] for a similar analysis.”