Geometries, Non-Geometries, and Fluxes

Abstract

Using F-theory/heterotic duality, we describe a framework for analyzing non-geometric T2-fibered heterotic compactifications to six- and four-dimensions. Our results suggest that among T2-fibered heterotic string vacua, the non-geometric compactifications are just as typical as the geometric ones. We also construct four-dimensional solutions which have novel type IIB and M-theory dual descriptions. These duals are non-geometric with three- and four-form fluxes not of (2,1) or (2,2) Hodge type, respectively, and yet preserve at least N=1 supersymmetry.

68 pages, 1 figure. v2: added references, minor changes. v3: minor changes

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Cited by in corpus (16)

• A ten-dimensional action for non-geometric fluxes
• On Abelian Gauge Symmetries and Proton Decay in Global F-theory GUTs
• Gauged supergravities and non-geometric Q/R-fluxes from asymmetric orbifold CFT's
• Duality Symmetric String and M-Theory
• The Revival of (0,2) Linear Sigma Models
• Geometric constraints in dual F-theory and heterotic string compactifications
• Linear Sigma Models with Torsion
• Heterotic string from a higher dimensional perspective
• T-folds, doubled geometry, and the SU(2) WZW model
• Type IIB flux vacua from G-theory II
• Branes, U-folds and hyperelliptic fibrations
• Heterotic Sigma Models with N=2 Space-Time Supersymmetry
• Unbroken $E_7\times E_7$ nongeometric heterotic strings, stable degenerations and enhanced gauge groups in F-theory duals
• U-folds as K3 fibrations
• Heterotic flux backgrounds and their IIA duals
• A Landscape of Field Theories