Affine Yang-Mills-Higgs metrics
  Let (E, \varphi) be a flat Higgs bundle on a compact special affine manifold M equipped with an affine Gauduchon metric. We prove that (E, \varphi) is polystable if and only if it admits an affine Yang-Mills-Higgs metric. 
Indranil Biswas, John Loftin and Matthias Stemmler
math.DG math.AG math.SG