Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1088/1126-6708/2009/01/058
Keywords
Brane Dynamics in Gauge Theories; F-Theory; Intersecting branes models; Superstring Vacua
Categories
Funding
- Direct For Mathematical & Physical Scien
- Division Of Physics [804450] Funding Source: National Science Foundation
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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 twisted N = 4 theory which has been coupled to a surface defect theory on which chiral matter can propagate. nom the vantagepoint of the four-dimensional topological theory, these defects are surface operators. Specific intersection points of these defects lead to Yukawa couplings. We also find that the unfolding of the singularity in the F-theory geometry precisely matches to properties of the topological theory with a defect.
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