GUTs and exceptional branes in F-theory — I

  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},
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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