A Note on G-Fluxes for F-theory Model Building
arXiv:1006.0483 · doi:10.1007/JHEP11(2010)088
Abstract
We propose a description of G-fluxes that induce chirality in 4-dimensional F-theory GUT spectra that is intrinsic to F-theory and does not rely on Heterotic/F-theory duality. Using this, we describe how to globally extend fluxes that have been constructed in a semi-local setting and obtain an F-theoretic formula for computing the chiral spectrum that they induce. Chirality computations agree with those from the semi-local Higgs bundle analysis for matter fields that are charged under the GUT-group, and hence with the standard Heterotic formulae where applicable. Finally, the relation of G-fluxes to SU(5)_{perp} bundles on the F-theory 4-fold is discussed and used to motivate a quantization rule that is consistent both with the Higgs bundle one as well as the Heterotic one when a Heterotic dual exists.
41 pages + 2 appendices; v2 references added, typo in (2.14) corrected
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- Anomaly Equations and Intersection Theory
- Discrete gauge symmetries in D-brane models
- U(1) symmetries in F-theory GUTs with multiple sections
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- Constraints on 6D Supergravity Theories with Abelian Gauge Symmetry
- F-theory GUTs with U(1) Symmetries: Generalities and Survey
- Matter From Geometry Without Resolution
- Toric Construction of Global F-Theory GUTs
- Three Looks at Instantons in F-theory -- New Insights from Anomaly Inflow, String Junctions and Heterotic Duality
- Unification and Phenomenology of F-Theory GUTs with U(1)_PQ
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- The Noether-Lefschetz Problem and Gauge-Group-Resolved Landscapes: F-Theory on K3 x K3 as a Test Case
- On F-theory E_6 GUTs
- Abelian F-theory Models with Charge-3 and Charge-4 Matter
- GUT theories from Calabi-Yau 4-folds with SO(10) Singularities
- Weak Mixing Angle and Proton Stability in F-theory GUT
- Building SO(10) models from F-theory
- On Global Flipped SU(5) GUTs in F-theory
- Yukawa couplings in F-theory as D-brane instanton effects
- A new CY elliptic fibration and tadpole cancellation
- Comments on Flipped SU(5) (and F-theory)
- Global Gluing and G-flux
- F-theory models with and transitions in discrete gauge groups
- SU(N) transitions in M-theory on Calabi-Yau fourfolds and background fluxes
- A Note on Kahler Potential of Charged Matter in F-theory
- Constraints on GUT 7-brane Topology in F-theory
- Algebraic description of G-flux in F-theory: new techniques for F-theory phenomenology
- A note on transition in discrete gauge groups in F-theory