Singularities and gauge theory phases, II

Abstract

We present a simple algebraic construction for all the small resolutions of the SU (5) Weierstrass model. Each resolution corresponds to a subchamber on the Coulomb branch of the five-dimensional N = 1 SU (5) gauge theory with matter fields in the fundamental and two-index antisymmetric representations. This construction unifies all previous resolutions found in the literature in a single framework.