GUTs and exceptional branes in F-theory — I

@article{Beasley2009GUTsAE,
  title={GUTs and exceptional branes in F-theory — I},
  author={Christopher Edward Beasley and Jonathan J. Heckman and Cumrun Vafa},
  journal={Journal of High Energy Physics},
  year={2009},
  volume={2009},
  pages={058-058}
}
Motivated by potential phenomenological applications, we develop the necessary tools for building GUT models in F-theory. This approach is quite flexible because the local geometrical properties of singularities in F-theory compactifications encode the physical content of the theory. In particular, we show how geometry determines the gauge group, matter content and Yukawa couplings of a given model. It turns out that these features are beautifully captured by a four-dimensional topologically… 

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References

SHOWING 1-10 OF 56 REFERENCES
Gorenstein Threefold Singularities with Small Resolutions via Invariant Theory for Weyl Groups
We classify simple flops on smooth threefolds, or equivalently, Gorenstein threefold singularities with irreducible small resolution. There are only six families of such singularities, distinguished
Codimension-three bundle singularities in F-theory
We study new nonperturbative phenomena in N = 1 heterotic string vacua corresponding to pointlike bundle singularities in codimension three. These degenerations result in new four-dimensional
Matter from geometry
A Strong coupling test of S duality
Supersymmetry and Supergravity
The first edition of this book appeared in 1983 and was based on a series of lectures given at Princeton in 1983 by Julius Wess. Since the appearance of the first edition much work has been done on
Strong coupling expansion of Calabi-Yau compactification
Mass scales in grand unified theories
Explicit expressions for the upper and lower bounds for all unification mass scales in allowed breakdowns of SU(5) and SO(10) are reviewed. All breakdown patterns of ${\mathrm{E}}_{6}$ through
E6 gauge field theory model revisited
SummaryParticle assignments in a unified theory proposed previously are re-examined in both topless and standard versions. Spontaneous symmetry breaking via Higgs fields transforming as 27, 78 and
...
...