F theory Vacua in Four Dimensions and Toric Threefolds

Abstract

We investigate D=4, N=1 F theory models realized by type IIB string compactification on toric threefolds. Massless spectra, gauge symmetries, phase transitions associated with divisor contractions and flops, and non-perturbative superpotentials are analyzed using elementary toric methods.

37 pages, 6 eps Figures

References in corpus (6)

• Vector Bundles And F Theory
• Calabi-Yau fourfolds for M- and F-Theory compactifications
• F-theory, Geometric Engineering and N=1 Dualities
• A Class of N=1 Dual String Pairs and its Modular Superpotential
• N=1 Dual String Pairs and their Massless Spectra
• Chiral Multiplets in N=1 Dual String Pairs

Cited by in corpus (25)

• Vector Bundles And F Theory
• Building a Better Racetrack
• Toric bases for 6D F-theory models
• Chirality Changing Phase Transitions in 4d String Vacua
• Scanning the skeleton of the 4D F-theory landscape
• Calabi-Yau threefolds with large h^{2, 1}
• ${\mathbb{P}}^1$-bundle bases and the prevalence of non-Higgsable structure in 4D F-theory models
• A Monte Carlo exploration of threefold base geometries for 4d F-theory vacua
• Geometric constraints in dual F-theory and heterotic string compactifications
• Structure in 6D and 4D N=1 supergravity theories from F-theory
• A Class of N=1 Dual String Pairs and its Modular Superpotential
• The Vertical, the Horizontal and the Rest: anatomy of the middle cohomology of Calabi-Yau fourfolds and F-theory applications
• Non-Higgsable QCD and the Standard Model Spectrum in F-theory
• Duality in Heterotic Vacua With Four Supercharges
• Landau-Ginzburg Vacua of String, M- and F-Theory at c=12
• Divisors on elliptic Calabi-Yau 4-folds and the superpotential in F-theory, I
• Three Dimensional N=2 Gauge Theories and Degenerations of Calabi-Yau Four-Folds
• NS5-Branes and Line Bundles in Heterotic/F-Theory Duality
• Holomorphic Couplings In Non-Perturbative String Compactifications
• Dualities and phase transitions for Calabi-Yau 3folds and 4folds
• On the Elliptic Calabi-Yau Fourfold with Maximal $h^{1,1}$
• MQCD, ('Barely') G_2 Manifolds and (Orientifold of) a Compact Calabi-Yau
• An N=1 Triality by Spectrum Matching
• Heterotic String/F-theory Duality from Mirror Symmetry
• Elliptic Calabi-Yau fivefolds and 2d (0,2) F-theory landscape