Singularities and Gauge Theory Phases II
Mboyo Esole, Shu-Heng Shao, Shing-Tung Yau
TL;DR
This paper provides an algebraic method to construct all small resolutions of the SU(5) Weierstrass model, linking geometric resolutions to phases of a five-dimensional SU(5) gauge theory with matter.
Contribution
It introduces a unified algebraic framework that encompasses all known small resolutions of the SU(5) Weierstrass model, connecting them to Coulomb branch chambers.
Findings
Unified all small resolutions in a single algebraic construction.
Linked geometric resolutions to gauge theory phases.
Clarified the structure of Coulomb chambers for SU(5).
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.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Quantum Chromodynamics and Particle Interactions · Cosmology and Gravitation Theories