# 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}
}
• Published 25 February 2008
• Mathematics
• Journal of High Energy Physics
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…
543 Citations

## Figures from this paper

Gauge coupling flux thresholds, exotic matter and the unification scale in F-SU(5) GUT
• Physics
• 2010
We explore the gauge coupling relations and the unification scale in F-theory SU(5) GUT broken down to the Standard Model by an internal U(1)Y gauge flux. We consider variants with exotic matter
F-theory GUT vacua on compact Calabi-Yau fourfolds
• Mathematics
• 2010
We present compact three-generation F-theory GUT models meeting in particular the constraints of D3-tadpole cancellation and D-term supersymmetry. To this end we explicitly construct elliptically
Matter wave functions and Yukawa couplings in F-theory grand unification
• Mathematics, Physics
• 2009
40 pages, 4 figures, 3 tables, 2 appendices.-- ArXiv pre-print available at: http://arxiv.org/abs/0907.4895
Dynamically SUSY Breaking SQCD on F-Theory Seven-Branes
We study how dynamically breaking SQCD can be obtained on two intersecting seven-branes in F-theory. In the mechanism which we present in this paper one of the seven-branes is responsible for
F‐theory and Dark Energy
• Physics
Fortschritte der Physik
• 2019
Motivated by its potential use as a starting point for solving various cosmological constant problems, we study F‐theory compactified on the warped product Rtime×S3×Y8 where Y8 is a Spin(7) manifold,
UPR-1294-T F-theory and Dark Energy
• Physics
• 2018
Motivated by its potential use as a starting point for solving various cosmological constant problems, we study F-theory compactified on the warped product Rtime×S×Y8 where Y8 is a Spin(7) manifold,
T-branes and defects
• Mathematics
Journal of High Energy Physics
• 2019
A bstractWe study T-branes on compact Kähler surfaces, in the presence of fields localised at curves. If such fields are treated as defects, their vevs induce delta-function sources for the 7-brane
E-string and model building on a typical F-theory geometry
• Physics
• 2018
In recent scans of 4D F-theory geometric models, it was shown that a dominant majority of the base geometries only support $SU(2)$, $G_2$, $F_4$ and $E_8$ gauge groups. It is hence an important
Title Discrete gauge groups in F-theory models on genus-one
We determine the discrete gauge symmetries that arise in F-theory compactifications on examples of genus-one fibered Calabi-Yau 4-folds without a section. We construct genus-one fibered Calabi-Yau
Gauge groups and matter spectra in F-theory compactifications on genus-one fibered Calabi-Yau 4-folds without section - hypersurface and double cover constructions.
We investigate gauge theories and matter contents in F-theory compactifications on families of genus-one fibered Calabi-Yau 4-folds lacking a global section. To construct families of genus-one

## References

SHOWING 1-10 OF 56 REFERENCES
Gorenstein Threefold Singularities with Small Resolutions via Invariant Theory for Weyl Groups
• Mathematics
• 1992
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
• Physics
• 2002
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
• Mathematics
• 1997
A Strong coupling test of S duality
• Mathematics, Physics
• 1994
Supersymmetry and Supergravity
• Physics
• 1992
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
Mass scales in grand unified theories
• Physics
• 1982
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
• Physics
• 1981
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