2019/10/23 by Barbosa, Rodrigo
#Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.1910.10742
Inspired by a string duality, we construct a deformation family for G2-orbifolds given as total spaces of coassociative fibrations by ADE singularities over a closed and oriented smooth three-manifold Q. The deformations are parametrized by sections of a fiber bundle on Q that can be interpreted as spectral/cameral covers associated to certain Riemannian analogs of Higgs bundles. The spectral cover picture is a unifying framework for several different approaches to coassociative fibrations appearing in the literature. Our construction generalizes, to the context of G2-geometry, a well-known family of ADE-fibered Calabi-Yau threefolds whose deformations are parametrized by spectral covers of holomorphic Higgs bundles on its base Riemann surface.