Singularities and Gauge Theory Phases
High Energy Physics - Theory
2014-07-10 v2 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.1402.6331,
title = {Singularities and Gauge Theory Phases},
author = {Mboyo Esole and Shu-Heng Shao and Shing-Tung Yau},
journal= {arXiv preprint arXiv:1402.6331},
year = {2014}
}
Comments
55 pages, 18 figures, section added