Computing Brane and Flux Superpotentials in F-theory Compactifications
arXiv:0909.2025 · doi:10.1007/JHEP04(2010)015
Abstract
In four-dimensional F-theory compactifications with N=1 supersymmetry the fields describing the dynamics of space-time filling 7-branes are part of the complex structure moduli space of the internal Calabi-Yau fourfold. We explicitly compute the flux superpotential in F-theory depending on all complex structure moduli, including the 7-brane deformations and the field corresponding to the dilaton-axion. Since fluxes on the 7-branes induce 5-brane charge, a local limit allows to effectively match the F-theory results to a D5-brane in a non-compact Calabi-Yau threefold with threeform fluxes. We analyze the classical and instanton contributions to the F-theory superpotential using mirror symmetry for Calabi-Yau fourfolds. The F-theory compactifications under consideration also admit heterotic dual descriptions and we discuss the identification of the moduli in this non-perturbative duality.
75 pages, 1 figure; typos corrected, references added
References in corpus (10)
- Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
- Flux Compactification
- GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
- Global F-theory GUTs
- Enumerative geometry of Calabi-Yau 4-folds
- F-theory Compactifications for Supersymmetric GUTs
- Opening Mirror Symmetry on the Quintic
- Relative periods and open-string integer invariants for a compact Calabi-Yau hypersurface
- Calculations for Mirror Symmetry with D-branes
- Mirror Symmetry for Toric Branes on Compact Hypersurfaces
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- The Vertical, the Horizontal and the Rest: anatomy of the middle cohomology of Calabi-Yau fourfolds and F-theory applications
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- Origin of Abelian Gauge Symmetries in Heterotic/F-theory Duality
- On D-brane moduli stabilisation
- On Flux Quantization in F-Theory II: Unitary and Symplectic Gauge Groups
- Systematics of type IIB moduli stabilisation with odd axions
- Flipped SU(5) GUTs from E_8 Singularities in F-theory
- Fluxbranes: Moduli Stabilisation and Inflation
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- D-brane Superpotentials: Geometric and Worldsheet Approaches
- Effective action from M-theory on twisted connected sum -manifolds
- Small flux superpotential in F-theory compactifications
- The Noether-Lefschetz Problem and Gauge-Group-Resolved Landscapes: F-Theory on K3 x K3 as a Test Case
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- Holomorphic Couplings In Non-Perturbative String Compactifications
- Probing the Weak Gravity Conjecture in the Cosmic Microwave Background
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