Toroidal Orientifolds in IIA with General NS-NS Fluxes

Abstract

Type IIA toroidal orientifolds offer a promising toolkit for model builders, especially when one includes not only the usual fluxes from NS-NS and R-R field strengths, but also fluxes that are T-dual to the NS-NS three-form flux. These new ingredients are known as metric fluxes and non-geometric fluxes, and can help stabilize moduli or can lead to other new features. In this paper we study two approaches to these constructions, by effective field theory or by toroidal fibers twisted over a toroidal base. Each approach leads us to important observations, in particular the presence of D-terms in the four-dimensional effective potential in some cases, and a more subtle treatment of the quantization of the general NS-NS fluxes. Though our methods are general, we illustrate each approach on the example of an orientifold of T^6/Z_4.

59 pages, references added

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• On the Cosmology of Type IIA Compactifications on SU(3)-structure Manifolds
• On Classical de Sitter Vacua in String Theory
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• D-Terms from Generalized NS-NS Fluxes in Type II
• Non-geometric flux vacua, S-duality and algebraic geometry
• $P$ fluxes and exotic branes
• No-scale supersymmetry breaking vacua and soft terms with torsion
• Dimensional oxidation and modular completion of non-geometric type IIB action
• Moduli stabilization with non-geometric fluxes -- comments on tadpole contributions and de-Sitter vacua
• Type IIB flux compactifications with $h^{1,1}=0$
• On stable type IIA de-Sitter vacua with geometric flux
• Seeking de-Sitter Vacua in the String Landscape
• Exploring the landscape of (anti-) de Sitter and Minkowski solutions: group manifolds, stability and scale separation
• Towards Geometric D6-Brane Model Building on non-Factorisable Toroidal ${\mathbb{Z}}_4$-Orbifolds
• Taxonomy of scalar potential with U-dual fluxes
• On the limitations of non-geometric fluxes to realize dS vacua
• Heterotic Flux Attractors
• Symplectic formulation of the type IIB scalar potential with U-dual fluxes
• Reading-off the non-geometric scalar potentials with U-dual fluxes
• Systematic exploration of the non-geometric flux landscape