The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets

Abstract

We consider string theory compactifications of the form AdS4 x M6 with orientifold six-planes, where M6 is a six-dimensional compact space that is either a nilmanifold or a coset. For all known solutions of this type we obtain the four-dimensional N=1 low energy effective theory by computing the superpotential, the Kaehler potential and the mass spectrum for the light moduli. For the nilmanifold examples we perform a cross-check on the result for the mass spectrum by calculating it alternatively from a direct Kaluza-Klein reduction and find perfect agreement. We show that in all but one of the coset models all moduli are stabilized at the classical level. As an application we show that all but one of the coset models can potentially be used to bypass a recent no-go theorem against inflation in type IIA theory.

47 pages main text, 28 pages appendix, 3 tables, 7 figures, v2: added references, corrected typos

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• On Classical de Sitter Vacua in String Theory
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• O-plane Backreaction and Scale Separation in Type IIA Flux Vacua
• Type-IIA flux compactifications and N=4 gauged supergravities
• All homogeneous N=2 M-theory truncations with supersymmetric AdS4 vacua
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• Algebras and non-geometric flux vacua
• Dimensional Reduction of the Heterotic String over nearly-Kaehler manifolds
• Comments on classical AdS flux vacua with scale separation
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• Topological branes, p-algebras and generalized Nahm equations
• Domain walls from ten dimensions
• Scale-separated AdS${}_3$ vacua from $G_2$-orientifolds using bispinors
• Aspects of AdS flux vacua with integer conformal dimensions
• AdS scale separation and the distance conjecture
• Charting the landscape of (anti-) de Sitter and Minkowski solutions of 10d supergravities
• A note on the reduction of the AdS4 x CP3 string sigma model
• Seeing through the String Landscape - a String Hunter's Companion in Particle Physics and Cosmology
• On semiclassical calculation of three-point functions in AdS_4 x CP^3
• KK-monopoles and G-structures in M-theory/type IIA reductions
• Weak $G_2$-manifolds and scale separation in M-theory from type IIA backgrounds
• Near Flat Space limit of strings on AdS_4 x CP^3
• On the correspondence between black holes, domain walls and fluxes
• Exploring the landscape of (anti-) de Sitter and Minkowski solutions: group manifolds, stability and scale separation
• AdS Vacua, Attractor Mechanism and Generalized Geometries
• Relative scale separation in orbifolds of $S^2$ and $S^5$
• Brane Curvature Corrections to the $\mathcal{N}=1$ Type II/F-theory Effective Action
• Coisotropic D-branes on AdS4 x CP3 and massive deformations
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Recent Trends in Superstring Phenomenology
• Supersymmetric $d{S}_n$ solutions for $n\ge 5$ in $D=11$ supergravity
• A method to find $\mathcal{N}=1$ AdS${}_4$ vacua in type IIB
• Heterotic Flux Attractors
• Non-perturbative aspects of gauge and string theories and their holographic relations
• A domain wall bound on anti-de Sitter vacua
• Dirac operator spectrum on a nilmanifold
• Explicit Construction of Hermitian Yang-Mills Instantons on Coset Manifolds