Hitchins equations and M -theory phenomenology

@inproceedings{Pantev2011HitchinsEA,
  title={Hitchins equations and M -theory phenomenology},
  author={Tony Pantev and Martijn Paul Wijnholt},
  year={2011}
}
a b s t r a c t Phenomenological compactifications of M-theory involve seven-manifolds with G2 holonomy and various singularities. Here we study local geometries with such singularities, by thinking of them as compactifications of 7d supersymmetric Yang-Mills theory on a three-manifold Q3. We give a general discussion of compactifications of 7d Yang-Mills theory in terms of Higgs bundles on Q3. We show that they can be constructed using spectral covers, which are Lagrangian branes with a flat… CONTINUE READING
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