Singularities and Gauge Theory Phases II

Abstract

We present a simple algebraic construction of all the small resolutions for 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.

v2: 48 pages, 20 figures; typos corrected, refs added, 1 figure added, note added at the end of the introduction