Orbifold singularities, Lie algebras of the third kind (LATKes), and pure Yang–Mills with matter

Abstract

We discover the unique, simple Lie algebra of the third kind, or LATKe, that stems from codimension 6 orbifold singularities and gives rise to a new kind of Yang–Mills theory which simultaneously is pure and contains matter. The root space of the LATKe is one-dimensional and its Dynkin diagram consists of one point. The uniqueness of the LATKe is a vacuum selection mechanism. \documentclass[12pt]{minimal}\begin{document}\[\begin{array}{c}\hbox{The World in a Point?}\\[12pt]\hbox{Blow-up of} C^3/Z_3|\,\, \hbox{Dynkin diagram of the LATKe}\\[12pt]\bullet \\[12pt]\hbox{Pure Yang-Mills with matter}\end{array}\]\end{document}TheWorldinaPoint?Blow-upofC3/Z3|DynkindiagramoftheLATKe●PureYang-Millswithmatter