Higgs Bundles and UV Completion in F-Theory

  title={Higgs Bundles and UV Completion in F-Theory},
  author={Ron Donagi},
  • Ron Donagi
  • Published 2009
F -theory admits 7-branes with exceptional gauge symmetries, which can be compactified to give phenomenological four-dimensional GUT models. Here we study general supersymmetric compactifications of eight-dimensional Yang-Mills theory. They are mathematically described by meromorphic Higgs bundles, and therefore admit a spectral cover description. This allows us to give a rigorous and intrinsic construction of local models in F -theory. We use our results to prove a no-go theorem showing that… CONTINUE READING