Model building with $F$-theory

By R. Donagi, M. Wijnholt. 2008

524 citations recorded by the source corpus.

Despite much recent progress in model building with D-branes, it has been problematic to find a completely convincing explanation of gauge coupling unification. We extend the class of models by considering F-theory compactifications, which may incorporate unification more naturally. We explain how to derive the charged chiral spectrum and Yukawa couplings in N=1 compactifications of F-theory with G-flux. In a class of models which admit perturbative heterotic duals, we show that the F-theory and heterotic computations match.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b60eb151f07fe4358c2f8e980fb8c8333fc2a132

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In Nuclear and High Energy Physics

Citations in the corpus

G-flux in F-theory and algebraic cycles (2011, methodology): “It hence seems natural that the chirality can be obtained as the integral of G4 over these curves [3, 6].”
Global F-theory GUTs (2009, methodology): “This was formalized in [1, 27] by writing γu = FI ∧ ω I 0 −→ G − qS ∗ = FI ∧ ω I .”
F-theory fluxes, chirality and Chern-Simons theories (2011, methodology): “In [3, 5] a spectral cover construction, more familiar from the heterotic string [6], has been used.”
Codimension-3 Singularities and Yukawa Couplings in F-theory (2009, methodology): “Using the field theory formulation of [4, 5] and the zero-mode wavefunctions of the local model in section 4, we find that the up-type Yukawa matrix of Georgi–Glashow SU(5) models generated from a codimension-3 singularity with E6 enhanced singularity is rank-1 at the leading order for generic choic”
Higgs Bundles and UV Completion in F-Theory (2009, methodology): “More precisely, there is a spectral sequence relating the right to the left and possibly killing some generators on the right, as was actually noted in [1].”
F-theory GUT vacua on compact Calabi-Yau fourfolds (2009, methodology): “P(3) P(4)[2] P(4)[3] P(4)[4] c(3)1(B) 64 54 24 4 h(2,1)(B) 0 0 5 30 χ(Y ) 23328 19728 8928 1728 (2.”
Torsional Heterotic Geometries (2009, unknown): “1kbecker@physics.tamu.edu 2sethi@uchicago.edu”
GUTs in Type IIB Orientifold Compactifications (2008, background): “These states do not correspond to matter fields but rather gauge fields and have been named ghosts in [13].”
Geometric engineering in toric F-theory and GUTs with U(1) gauge factors (2013, methodology): “ntroduction Four-dimensional F-theory compactications on elliptically bered Calabi-Yau fourfolds allow for the exciting possibility to geometrically engineer interesting Grand Unied Theories (GUTs) [1, 2]. While the original models were local, and thus decoupled from gravity, vast progress has been ”