%0 Journal Article
%T Singularities and Gauge Theory Phases
%A Mboyo Esole
%A Shu-Heng Shao
%A Shing-Tung Yau
%J Mathematics
%D 2014
%I arXiv
%X Motivated by M-theory compactification on elliptic Calabi-Yau threefolds, we present a correspondence between networks of small resolutions for singular elliptic fibrations and Coulomb branches of five-dimensional N=1 gauge theories. While resolutions correspond to subchambers of the Coulomb branch, partial resolutions correspond to higher codimension loci at which the Coulomb branch intersects the Coulomb-Higgs branches. Flops between different resolutions are identified with reflections on the Coulomb branch. Physics aside, this correspondence provides an interesting link between elliptic fibrations and representation theory.
%U http://arxiv.org/abs/1402.6331v2